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Simplifying -1(7 + -5m) + 8m = 3(8m + -6) (7 * -1 + -5m * -1) + 8m = 3(8m + -6) (-7 + 5m) + 8m = 3(8m + -6) Combine like terms: 5m + 8m = 13m -7 + 13m = 3(8m + -6) Reorder the terms: -7 + 13m = 3(-6 + 8m) -7 + 13m = (-6 * 3 + 8m * 3) -7 + 13m = (-18 + 24m) Solving -7 + 13m = -18 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -7 + 13m + -24m = -18 + 24m + -24m Combine like terms: 13m + -24m = -11m -7 + -11m = -18 + 24m + -24m Combine like terms: 24m + -24m = 0 -7 + -11m = -18 + 0 -7 + -11m = -18 Add '7' to each side of the equation. -7 + 7 + -11m = -18 + 7 Combine like terms: -7 + 7 = 0 0 + -11m = -18 + 7 -11m = -18 + 7 Combine like terms: -18 + 7 = -11 -11m = -11 Divide each side by '-11'. m = 1 Simplifying m = 1
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