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Simplifying 15 + -1(3m + 4) = 2 + 4m + -19 Reorder the terms: 15 + -1(4 + 3m) = 2 + 4m + -19 15 + (4 * -1 + 3m * -1) = 2 + 4m + -19 15 + (-4 + -3m) = 2 + 4m + -19 Combine like terms: 15 + -4 = 11 11 + -3m = 2 + 4m + -19 Reorder the terms: 11 + -3m = 2 + -19 + 4m Combine like terms: 2 + -19 = -17 11 + -3m = -17 + 4m Solving 11 + -3m = -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. 11 + -3m + -4m = -17 + 4m + -4m Combine like terms: -3m + -4m = -7m 11 + -7m = -17 + 4m + -4m Combine like terms: 4m + -4m = 0 11 + -7m = -17 + 0 11 + -7m = -17 Add '-11' to each side of the equation. 11 + -11 + -7m = -17 + -11 Combine like terms: 11 + -11 = 0 0 + -7m = -17 + -11 -7m = -17 + -11 Combine like terms: -17 + -11 = -28 -7m = -28 Divide each side by '-7'. m = 4 Simplifying m = 4
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