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Simplifying 13 + -1(4m + 3) = 2 + 2m + -6 Reorder the terms: 13 + -1(3 + 4m) = 2 + 2m + -6 13 + (3 * -1 + 4m * -1) = 2 + 2m + -6 13 + (-3 + -4m) = 2 + 2m + -6 Combine like terms: 13 + -3 = 10 10 + -4m = 2 + 2m + -6 Reorder the terms: 10 + -4m = 2 + -6 + 2m Combine like terms: 2 + -6 = -4 10 + -4m = -4 + 2m Solving 10 + -4m = -4 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 10 + -4m + -2m = -4 + 2m + -2m Combine like terms: -4m + -2m = -6m 10 + -6m = -4 + 2m + -2m Combine like terms: 2m + -2m = 0 10 + -6m = -4 + 0 10 + -6m = -4 Add '-10' to each side of the equation. 10 + -10 + -6m = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -6m = -4 + -10 -6m = -4 + -10 Combine like terms: -4 + -10 = -14 -6m = -14 Divide each side by '-6'. m = 2.333333333 Simplifying m = 2.333333333
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