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Simplifying 10 + 5m + -17 = 4m + -12 + 3 Reorder the terms: 10 + -17 + 5m = 4m + -12 + 3 Combine like terms: 10 + -17 = -7 -7 + 5m = 4m + -12 + 3 Reorder the terms: -7 + 5m = -12 + 3 + 4m Combine like terms: -12 + 3 = -9 -7 + 5m = -9 + 4m Solving -7 + 5m = -9 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -7 + 5m + -4m = -9 + 4m + -4m Combine like terms: 5m + -4m = 1m -7 + 1m = -9 + 4m + -4m Combine like terms: 4m + -4m = 0 -7 + 1m = -9 + 0 -7 + 1m = -9 Add '7' to each side of the equation. -7 + 7 + 1m = -9 + 7 Combine like terms: -7 + 7 = 0 0 + 1m = -9 + 7 1m = -9 + 7 Combine like terms: -9 + 7 = -2 1m = -2 Divide each side by '1'. m = -2 Simplifying m = -2
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