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Simplifying -32 + -2m = -5(m + 3) + 1 Reorder the terms: -32 + -2m = -5(3 + m) + 1 -32 + -2m = (3 * -5 + m * -5) + 1 -32 + -2m = (-15 + -5m) + 1 Reorder the terms: -32 + -2m = -15 + 1 + -5m Combine like terms: -15 + 1 = -14 -32 + -2m = -14 + -5m Solving -32 + -2m = -14 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. -32 + -2m + 5m = -14 + -5m + 5m Combine like terms: -2m + 5m = 3m -32 + 3m = -14 + -5m + 5m Combine like terms: -5m + 5m = 0 -32 + 3m = -14 + 0 -32 + 3m = -14 Add '32' to each side of the equation. -32 + 32 + 3m = -14 + 32 Combine like terms: -32 + 32 = 0 0 + 3m = -14 + 32 3m = -14 + 32 Combine like terms: -14 + 32 = 18 3m = 18 Divide each side by '3'. m = 6 Simplifying m = 6
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