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Simplifying -5(1 + 3m) = -7 + -2(7m + -7) (1 * -5 + 3m * -5) = -7 + -2(7m + -7) (-5 + -15m) = -7 + -2(7m + -7) Reorder the terms: -5 + -15m = -7 + -2(-7 + 7m) -5 + -15m = -7 + (-7 * -2 + 7m * -2) -5 + -15m = -7 + (14 + -14m) Combine like terms: -7 + 14 = 7 -5 + -15m = 7 + -14m Solving -5 + -15m = 7 + -14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14m' to each side of the equation. -5 + -15m + 14m = 7 + -14m + 14m Combine like terms: -15m + 14m = -1m -5 + -1m = 7 + -14m + 14m Combine like terms: -14m + 14m = 0 -5 + -1m = 7 + 0 -5 + -1m = 7 Add '5' to each side of the equation. -5 + 5 + -1m = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 7 + 5 -1m = 7 + 5 Combine like terms: 7 + 5 = 12 -1m = 12 Divide each side by '-1'. m = -12 Simplifying m = -12
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