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Simplifying -5m + 32 = -3m + -4(7 + -7m) Reorder the terms: 32 + -5m = -3m + -4(7 + -7m) 32 + -5m = -3m + (7 * -4 + -7m * -4) 32 + -5m = -3m + (-28 + 28m) Reorder the terms: 32 + -5m = -28 + -3m + 28m Combine like terms: -3m + 28m = 25m 32 + -5m = -28 + 25m Solving 32 + -5m = -28 + 25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-25m' to each side of the equation. 32 + -5m + -25m = -28 + 25m + -25m Combine like terms: -5m + -25m = -30m 32 + -30m = -28 + 25m + -25m Combine like terms: 25m + -25m = 0 32 + -30m = -28 + 0 32 + -30m = -28 Add '-32' to each side of the equation. 32 + -32 + -30m = -28 + -32 Combine like terms: 32 + -32 = 0 0 + -30m = -28 + -32 -30m = -28 + -32 Combine like terms: -28 + -32 = -60 -30m = -60 Divide each side by '-30'. m = 2 Simplifying m = 2
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