What is the answer to -4+|5-5m|=26 ?

The answer to -4+|5-5m|=26 is m=-5\lor m=7

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-4+|5-5m|=26

- 4 + ∣ 5 - 5 m ∣ = 26

m = - 5 or m = 7

Solution steps

- 4 + ∣ 5 - 5 m ∣ = 26

Move

4

to the right side

∣ 5 - 5 m ∣ = 30

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 5 m = - 30 or 5 - 5 m = 30

5 - 5 m = - 30 or 5 - 5 m = 30

m = - 5 or m = 7

∣ x + 1 ∣ = x^{2} - 29

∣ x + 3 ∣ - 6 = 3

\frac{∣ a + 5 ∣ - 5}{- 2} = 2

∣ 2 y - 3 ∣ = ∣ 3 - 2 y ∣

2 x + ∣ x + 1 ∣ = 2