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Simplifying 3(-5 + 4m) = 7m + -30 (-5 * 3 + 4m * 3) = 7m + -30 (-15 + 12m) = 7m + -30 Reorder the terms: -15 + 12m = -30 + 7m Solving -15 + 12m = -30 + 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. -15 + 12m + -7m = -30 + 7m + -7m Combine like terms: 12m + -7m = 5m -15 + 5m = -30 + 7m + -7m Combine like terms: 7m + -7m = 0 -15 + 5m = -30 + 0 -15 + 5m = -30 Add '15' to each side of the equation. -15 + 15 + 5m = -30 + 15 Combine like terms: -15 + 15 = 0 0 + 5m = -30 + 15 5m = -30 + 15 Combine like terms: -30 + 15 = -15 5m = -15 Divide each side by '5'. m = -3 Simplifying m = -3
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