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Simplifying -2(8m + 7) = 34 + -4m Reorder the terms: -2(7 + 8m) = 34 + -4m (7 * -2 + 8m * -2) = 34 + -4m (-14 + -16m) = 34 + -4m Solving -14 + -16m = 34 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -14 + -16m + 4m = 34 + -4m + 4m Combine like terms: -16m + 4m = -12m -14 + -12m = 34 + -4m + 4m Combine like terms: -4m + 4m = 0 -14 + -12m = 34 + 0 -14 + -12m = 34 Add '14' to each side of the equation. -14 + 14 + -12m = 34 + 14 Combine like terms: -14 + 14 = 0 0 + -12m = 34 + 14 -12m = 34 + 14 Combine like terms: 34 + 14 = 48 -12m = 48 Divide each side by '-12'. m = -4 Simplifying m = -4
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