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Simplifying 12m + -32 = -4m + 7(2m + 1) + -5 Reorder the terms: -32 + 12m = -4m + 7(2m + 1) + -5 Reorder the terms: -32 + 12m = -4m + 7(1 + 2m) + -5 -32 + 12m = -4m + (1 * 7 + 2m * 7) + -5 -32 + 12m = -4m + (7 + 14m) + -5 Reorder the terms: -32 + 12m = 7 + -5 + -4m + 14m Combine like terms: 7 + -5 = 2 -32 + 12m = 2 + -4m + 14m Combine like terms: -4m + 14m = 10m -32 + 12m = 2 + 10m Solving -32 + 12m = 2 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -32 + 12m + -10m = 2 + 10m + -10m Combine like terms: 12m + -10m = 2m -32 + 2m = 2 + 10m + -10m Combine like terms: 10m + -10m = 0 -32 + 2m = 2 + 0 -32 + 2m = 2 Add '32' to each side of the equation. -32 + 32 + 2m = 2 + 32 Combine like terms: -32 + 32 = 0 0 + 2m = 2 + 32 2m = 2 + 32 Combine like terms: 2 + 32 = 34 2m = 34 Divide each side by '2'. m = 17 Simplifying m = 17
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