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Simplifying 7m + -1(4 + -4m) = 3(5m + -5) + -5 7m + (4 * -1 + -4m * -1) = 3(5m + -5) + -5 7m + (-4 + 4m) = 3(5m + -5) + -5 Reorder the terms: -4 + 7m + 4m = 3(5m + -5) + -5 Combine like terms: 7m + 4m = 11m -4 + 11m = 3(5m + -5) + -5 Reorder the terms: -4 + 11m = 3(-5 + 5m) + -5 -4 + 11m = (-5 * 3 + 5m * 3) + -5 -4 + 11m = (-15 + 15m) + -5 Reorder the terms: -4 + 11m = -15 + -5 + 15m Combine like terms: -15 + -5 = -20 -4 + 11m = -20 + 15m Solving -4 + 11m = -20 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. -4 + 11m + -15m = -20 + 15m + -15m Combine like terms: 11m + -15m = -4m -4 + -4m = -20 + 15m + -15m Combine like terms: 15m + -15m = 0 -4 + -4m = -20 + 0 -4 + -4m = -20 Add '4' to each side of the equation. -4 + 4 + -4m = -20 + 4 Combine like terms: -4 + 4 = 0 0 + -4m = -20 + 4 -4m = -20 + 4 Combine like terms: -20 + 4 = -16 -4m = -16 Divide each side by '-4'. m = 4 Simplifying m = 4
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