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Simplifying 15 + -1(4m + 6) = 3 + 4m + -18 Reorder the terms: 15 + -1(6 + 4m) = 3 + 4m + -18 15 + (6 * -1 + 4m * -1) = 3 + 4m + -18 15 + (-6 + -4m) = 3 + 4m + -18 Combine like terms: 15 + -6 = 9 9 + -4m = 3 + 4m + -18 Reorder the terms: 9 + -4m = 3 + -18 + 4m Combine like terms: 3 + -18 = -15 9 + -4m = -15 + 4m Solving 9 + -4m = -15 + 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. 9 + -4m + -4m = -15 + 4m + -4m Combine like terms: -4m + -4m = -8m 9 + -8m = -15 + 4m + -4m Combine like terms: 4m + -4m = 0 9 + -8m = -15 + 0 9 + -8m = -15 Add '-9' to each side of the equation. 9 + -9 + -8m = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -8m = -15 + -9 -8m = -15 + -9 Combine like terms: -15 + -9 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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