What is the answer to -5|-8m+1|+7=7 ?

The answer to -5|-8m+1|+7=7 is m= 1/8

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-5|-8m+1|+7=7

- 5 ∣ - 8 m + 1 ∣ + 7 = 7

m = \frac{1}{8}

Decimal Notation

m = 0.125

Solution steps

- 5 ∣ - 8 m + 1 ∣ + 7 = 7

Subtract

7

from both sides

- 5 ∣ - 8 m + 1 ∣ + 7 - 7 = 7 - 7

Simplify

- 5 ∣ - 8 m + 1 ∣ = 0

Divide both sides by

- 5

∣ - 8 m + 1 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

- 8 m + 1 = 0

- 8 m + 1 = 0 : m = \frac{1}{8}

m = \frac{1}{8}

4 ∣ x + 5 ∣ = 24

0 = 4 - x^{2}

∣ 3 x + 5 ∣ = 6 x + 10

\frac{1}{3} ∣ x + 7 ∣ = 9

∣ 2 a - 4 ∣ = 0