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Simplifying 15 + -1(5m + -7) = 2 + 3m + -18 Reorder the terms: 15 + -1(-7 + 5m) = 2 + 3m + -18 15 + (-7 * -1 + 5m * -1) = 2 + 3m + -18 15 + (7 + -5m) = 2 + 3m + -18 Combine like terms: 15 + 7 = 22 22 + -5m = 2 + 3m + -18 Reorder the terms: 22 + -5m = 2 + -18 + 3m Combine like terms: 2 + -18 = -16 22 + -5m = -16 + 3m Solving 22 + -5m = -16 + 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. 22 + -5m + -3m = -16 + 3m + -3m Combine like terms: -5m + -3m = -8m 22 + -8m = -16 + 3m + -3m Combine like terms: 3m + -3m = 0 22 + -8m = -16 + 0 22 + -8m = -16 Add '-22' to each side of the equation. 22 + -22 + -8m = -16 + -22 Combine like terms: 22 + -22 = 0 0 + -8m = -16 + -22 -8m = -16 + -22 Combine like terms: -16 + -22 = -38 -8m = -38 Divide each side by '-8'. m = 4.75 Simplifying m = 4.75
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