What is (0.5a-0.6b+5.5)-(-0.5a+0.4b)+(1.3b-4.5) ?

The solution to (0.5a-0.6b+5.5)-(-0.5a+0.4b)+(1.3b-4.5) is a+0.3b+1

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simplify (0.5a-0.6b+5.5)-(-0.5a+0.4b)+(1.3b-4.5)

simplify

(0.5 a - 0.6 b + 5.5) - (- 0.5 a + 0.4 b) + (1.3 b - 4.5)

a + 0.3 b + 1

Solution steps

(0.5 a - 0.6 b + 5.5) - (- 0.5 a + 0.4 b) + (1.3 b - 4.5)

Simplify

(0.5 a - 0.6 b + 5.5) - (- 0.5 a + 0.4 b) + (1.3 b - 4.5) : 0.5 a - 0.6 b + 5.5 - (- 0.5 a + 0.4 b) + 1.3 b - 4.5

= 0.5 a - 0.6 b + 5.5 - (- 0.5 a + 0.4 b) + 1.3 b - 4.5

Group like terms

= - (- 0.5 a + 0.4 b) + 0.5 a - 0.6 b + 1.3 b + 5.5 - 4.5

Add similar elements:

- 0.6 b + 1.3 b = 0.7 b

= - (- 0.5 a + 0.4 b) + 0.5 a + 0.7 b + 5.5 - 4.5

Subtract the numbers:

5.5 - 4.5 = 1

= - (- 0.5 a + 0.4 b) + 0.5 a + 0.7 b + 1

Apply the distributive law:

- (- a + b) = a - b

- (- 0.5 a + 0.4 b) = 0.5 a - 0.4 b

= 0.5 a - 0.4 b + 0.5 a + 0.7 b + 1

Group like terms

= 0.5 a + 0.5 a - 0.4 b + 0.7 b + 1

Add similar elements:

0.5 a + 0.5 a = a

= a - 0.4 b + 0.7 b + 1

Add similar elements:

- 0.4 b + 0.7 b = 0.3 b

= a + 0.3 b + 1

x^{2} + 6 x = 14

14 m^{2} - 12 m = 0

710 = 83 + 0.003 p^{2}

3 r^{2} - 14 r + 8

x^{2} + 1 = 4 x

What is (0.5a-0.6b+5.5)-(-0.5a+0.4b)+(1.3b-4.5) ?
The solution to (0.5a-0.6b+5.5)-(-0.5a+0.4b)+(1.3b-4.5) is a+0.3b+1