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Simplifying 10 = 3(m + 17) + -5 Reorder the terms: 10 = 3(17 + m) + -5 10 = (17 * 3 + m * 3) + -5 10 = (51 + 3m) + -5 Reorder the terms: 10 = 51 + -5 + 3m Combine like terms: 51 + -5 = 46 10 = 46 + 3m Solving 10 = 46 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 10 + -3m = 46 + 3m + -3m Combine like terms: 3m + -3m = 0 10 + -3m = 46 + 0 10 + -3m = 46 Add '-10' to each side of the equation. 10 + -10 + -3m = 46 + -10 Combine like terms: 10 + -10 = 0 0 + -3m = 46 + -10 -3m = 46 + -10 Combine like terms: 46 + -10 = 36 -3m = 36 Divide each side by '-3'. m = -12 Simplifying m = -12
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