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Simplifying 7(m + -5) + -4(3m + 1) = 5 Reorder the terms: 7(-5 + m) + -4(3m + 1) = 5 (-5 * 7 + m * 7) + -4(3m + 1) = 5 (-35 + 7m) + -4(3m + 1) = 5 Reorder the terms: -35 + 7m + -4(1 + 3m) = 5 -35 + 7m + (1 * -4 + 3m * -4) = 5 -35 + 7m + (-4 + -12m) = 5 Reorder the terms: -35 + -4 + 7m + -12m = 5 Combine like terms: -35 + -4 = -39 -39 + 7m + -12m = 5 Combine like terms: 7m + -12m = -5m -39 + -5m = 5 Solving -39 + -5m = 5 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -5m = 5 + 39 Combine like terms: -39 + 39 = 0 0 + -5m = 5 + 39 -5m = 5 + 39 Combine like terms: 5 + 39 = 44 -5m = 44 Divide each side by '-5'. m = -8.8 Simplifying m = -8.8
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