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Simplifying 15 + -1(3m + 7) = 5 + 4m + -18 Reorder the terms: 15 + -1(7 + 3m) = 5 + 4m + -18 15 + (7 * -1 + 3m * -1) = 5 + 4m + -18 15 + (-7 + -3m) = 5 + 4m + -18 Combine like terms: 15 + -7 = 8 8 + -3m = 5 + 4m + -18 Reorder the terms: 8 + -3m = 5 + -18 + 4m Combine like terms: 5 + -18 = -13 8 + -3m = -13 + 4m Solving 8 + -3m = -13 + 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. 8 + -3m + -4m = -13 + 4m + -4m Combine like terms: -3m + -4m = -7m 8 + -7m = -13 + 4m + -4m Combine like terms: 4m + -4m = 0 8 + -7m = -13 + 0 8 + -7m = -13 Add '-8' to each side of the equation. 8 + -8 + -7m = -13 + -8 Combine like terms: 8 + -8 = 0 0 + -7m = -13 + -8 -7m = -13 + -8 Combine like terms: -13 + -8 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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