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Simplifying 2(-5 + -7m) = -8(1 + 2m) (-5 * 2 + -7m * 2) = -8(1 + 2m) (-10 + -14m) = -8(1 + 2m) -10 + -14m = (1 * -8 + 2m * -8) -10 + -14m = (-8 + -16m) Solving -10 + -14m = -8 + -16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16m' to each side of the equation. -10 + -14m + 16m = -8 + -16m + 16m Combine like terms: -14m + 16m = 2m -10 + 2m = -8 + -16m + 16m Combine like terms: -16m + 16m = 0 -10 + 2m = -8 + 0 -10 + 2m = -8 Add '10' to each side of the equation. -10 + 10 + 2m = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 2m = -8 + 10 2m = -8 + 10 Combine like terms: -8 + 10 = 2 2m = 2 Divide each side by '2'. m = 1 Simplifying m = 1
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