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Simplifying -5 + -15m + 1 = 14m + -32 + -1m Reorder the terms: -5 + 1 + -15m = 14m + -32 + -1m Combine like terms: -5 + 1 = -4 -4 + -15m = 14m + -32 + -1m Reorder the terms: -4 + -15m = -32 + 14m + -1m Combine like terms: 14m + -1m = 13m -4 + -15m = -32 + 13m Solving -4 + -15m = -32 + 13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13m' to each side of the equation. -4 + -15m + -13m = -32 + 13m + -13m Combine like terms: -15m + -13m = -28m -4 + -28m = -32 + 13m + -13m Combine like terms: 13m + -13m = 0 -4 + -28m = -32 + 0 -4 + -28m = -32 Add '4' to each side of the equation. -4 + 4 + -28m = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -28m = -32 + 4 -28m = -32 + 4 Combine like terms: -32 + 4 = -28 -28m = -28 Divide each side by '-28'. m = 1 Simplifying m = 1
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