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Simplifying 13 + -1(4m + 3) = 2 + 3m + -13 Reorder the terms: 13 + -1(3 + 4m) = 2 + 3m + -13 13 + (3 * -1 + 4m * -1) = 2 + 3m + -13 13 + (-3 + -4m) = 2 + 3m + -13 Combine like terms: 13 + -3 = 10 10 + -4m = 2 + 3m + -13 Reorder the terms: 10 + -4m = 2 + -13 + 3m Combine like terms: 2 + -13 = -11 10 + -4m = -11 + 3m Solving 10 + -4m = -11 + 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 + -4m + -3m = -11 + 3m + -3m Combine like terms: -4m + -3m = -7m 10 + -7m = -11 + 3m + -3m Combine like terms: 3m + -3m = 0 10 + -7m = -11 + 0 10 + -7m = -11 Add '-10' to each side of the equation. 10 + -10 + -7m = -11 + -10 Combine like terms: 10 + -10 = 0 0 + -7m = -11 + -10 -7m = -11 + -10 Combine like terms: -11 + -10 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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