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Simplifying 18 + -1(5m + 3) = 5 + 2m + -18 Reorder the terms: 18 + -1(3 + 5m) = 5 + 2m + -18 18 + (3 * -1 + 5m * -1) = 5 + 2m + -18 18 + (-3 + -5m) = 5 + 2m + -18 Combine like terms: 18 + -3 = 15 15 + -5m = 5 + 2m + -18 Reorder the terms: 15 + -5m = 5 + -18 + 2m Combine like terms: 5 + -18 = -13 15 + -5m = -13 + 2m Solving 15 + -5m = -13 + 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. 15 + -5m + -2m = -13 + 2m + -2m Combine like terms: -5m + -2m = -7m 15 + -7m = -13 + 2m + -2m Combine like terms: 2m + -2m = 0 15 + -7m = -13 + 0 15 + -7m = -13 Add '-15' to each side of the equation. 15 + -15 + -7m = -13 + -15 Combine like terms: 15 + -15 = 0 0 + -7m = -13 + -15 -7m = -13 + -15 Combine like terms: -13 + -15 = -28 -7m = -28 Divide each side by '-7'. m = 4 Simplifying m = 4
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