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Simplifying 5m + -32 = -7(m + 8) Reorder the terms: -32 + 5m = -7(m + 8) Reorder the terms: -32 + 5m = -7(8 + m) -32 + 5m = (8 * -7 + m * -7) -32 + 5m = (-56 + -7m) Solving -32 + 5m = -56 + -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. -32 + 5m + 7m = -56 + -7m + 7m Combine like terms: 5m + 7m = 12m -32 + 12m = -56 + -7m + 7m Combine like terms: -7m + 7m = 0 -32 + 12m = -56 + 0 -32 + 12m = -56 Add '32' to each side of the equation. -32 + 32 + 12m = -56 + 32 Combine like terms: -32 + 32 = 0 0 + 12m = -56 + 32 12m = -56 + 32 Combine like terms: -56 + 32 = -24 12m = -24 Divide each side by '12'. m = -2 Simplifying m = -2
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