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Simplifying -5(1 + -3m) = 7m + 35 (1 * -5 + -3m * -5) = 7m + 35 (-5 + 15m) = 7m + 35 Reorder the terms: -5 + 15m = 35 + 7m Solving -5 + 15m = 35 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -5 + 15m + -7m = 35 + 7m + -7m Combine like terms: 15m + -7m = 8m -5 + 8m = 35 + 7m + -7m Combine like terms: 7m + -7m = 0 -5 + 8m = 35 + 0 -5 + 8m = 35 Add '5' to each side of the equation. -5 + 5 + 8m = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 8m = 35 + 5 8m = 35 + 5 Combine like terms: 35 + 5 = 40 8m = 40 Divide each side by '8'. m = 5 Simplifying m = 5
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