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Simplifying -5m + -7m = 4(4 + -8m) + 4(m + 8) Combine like terms: -5m + -7m = -12m -12m = 4(4 + -8m) + 4(m + 8) -12m = (4 * 4 + -8m * 4) + 4(m + 8) -12m = (16 + -32m) + 4(m + 8) Reorder the terms: -12m = 16 + -32m + 4(8 + m) -12m = 16 + -32m + (8 * 4 + m * 4) -12m = 16 + -32m + (32 + 4m) Reorder the terms: -12m = 16 + 32 + -32m + 4m Combine like terms: 16 + 32 = 48 -12m = 48 + -32m + 4m Combine like terms: -32m + 4m = -28m -12m = 48 + -28m Solving -12m = 48 + -28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '28m' to each side of the equation. -12m + 28m = 48 + -28m + 28m Combine like terms: -12m + 28m = 16m 16m = 48 + -28m + 28m Combine like terms: -28m + 28m = 0 16m = 48 + 0 16m = 48 Divide each side by '16'. m = 3 Simplifying m = 3
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