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Simplifying 13 + -1(2m + 7) = 4 + 2m + -14 Reorder the terms: 13 + -1(7 + 2m) = 4 + 2m + -14 13 + (7 * -1 + 2m * -1) = 4 + 2m + -14 13 + (-7 + -2m) = 4 + 2m + -14 Combine like terms: 13 + -7 = 6 6 + -2m = 4 + 2m + -14 Reorder the terms: 6 + -2m = 4 + -14 + 2m Combine like terms: 4 + -14 = -10 6 + -2m = -10 + 2m Solving 6 + -2m = -10 + 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. 6 + -2m + -2m = -10 + 2m + -2m Combine like terms: -2m + -2m = -4m 6 + -4m = -10 + 2m + -2m Combine like terms: 2m + -2m = 0 6 + -4m = -10 + 0 6 + -4m = -10 Add '-6' to each side of the equation. 6 + -6 + -4m = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -4m = -10 + -6 -4m = -10 + -6 Combine like terms: -10 + -6 = -16 -4m = -16 Divide each side by '-4'. m = 4 Simplifying m = 4
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