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Simplifying 3(m + -6) + -2(2m + 1) + -17 = 12m + -9 Reorder the terms: 3(-6 + m) + -2(2m + 1) + -17 = 12m + -9 (-6 * 3 + m * 3) + -2(2m + 1) + -17 = 12m + -9 (-18 + 3m) + -2(2m + 1) + -17 = 12m + -9 Reorder the terms: -18 + 3m + -2(1 + 2m) + -17 = 12m + -9 -18 + 3m + (1 * -2 + 2m * -2) + -17 = 12m + -9 -18 + 3m + (-2 + -4m) + -17 = 12m + -9 Reorder the terms: -18 + -2 + -17 + 3m + -4m = 12m + -9 Combine like terms: -18 + -2 = -20 -20 + -17 + 3m + -4m = 12m + -9 Combine like terms: -20 + -17 = -37 -37 + 3m + -4m = 12m + -9 Combine like terms: 3m + -4m = -1m -37 + -1m = 12m + -9 Reorder the terms: -37 + -1m = -9 + 12m Solving -37 + -1m = -9 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -37 + -1m + -12m = -9 + 12m + -12m Combine like terms: -1m + -12m = -13m -37 + -13m = -9 + 12m + -12m Combine like terms: 12m + -12m = 0 -37 + -13m = -9 + 0 -37 + -13m = -9 Add '37' to each side of the equation. -37 + 37 + -13m = -9 + 37 Combine like terms: -37 + 37 = 0 0 + -13m = -9 + 37 -13m = -9 + 37 Combine like terms: -9 + 37 = 28 -13m = 28 Divide each side by '-13'. m = -2.153846154 Simplifying m = -2.153846154
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