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Simplifying 12 + -1(4m + 6) = 2 + 3m + -17 Reorder the terms: 12 + -1(6 + 4m) = 2 + 3m + -17 12 + (6 * -1 + 4m * -1) = 2 + 3m + -17 12 + (-6 + -4m) = 2 + 3m + -17 Combine like terms: 12 + -6 = 6 6 + -4m = 2 + 3m + -17 Reorder the terms: 6 + -4m = 2 + -17 + 3m Combine like terms: 2 + -17 = -15 6 + -4m = -15 + 3m Solving 6 + -4m = -15 + 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. 6 + -4m + -3m = -15 + 3m + -3m Combine like terms: -4m + -3m = -7m 6 + -7m = -15 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + -7m = -15 + 0 6 + -7m = -15 Add '-6' to each side of the equation. 6 + -6 + -7m = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -7m = -15 + -6 -7m = -15 + -6 Combine like terms: -15 + -6 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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