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Simplifying 12 + -1(2m + 5) = 2 + 4m + -19 Reorder the terms: 12 + -1(5 + 2m) = 2 + 4m + -19 12 + (5 * -1 + 2m * -1) = 2 + 4m + -19 12 + (-5 + -2m) = 2 + 4m + -19 Combine like terms: 12 + -5 = 7 7 + -2m = 2 + 4m + -19 Reorder the terms: 7 + -2m = 2 + -19 + 4m Combine like terms: 2 + -19 = -17 7 + -2m = -17 + 4m Solving 7 + -2m = -17 + 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 + -2m + -4m = -17 + 4m + -4m Combine like terms: -2m + -4m = -6m 7 + -6m = -17 + 4m + -4m Combine like terms: 4m + -4m = 0 7 + -6m = -17 + 0 7 + -6m = -17 Add '-7' to each side of the equation. 7 + -7 + -6m = -17 + -7 Combine like terms: 7 + -7 = 0 0 + -6m = -17 + -7 -6m = -17 + -7 Combine like terms: -17 + -7 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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