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Simplifying 18 + -1(4m + 7) = 2 + 2m + -15 Reorder the terms: 18 + -1(7 + 4m) = 2 + 2m + -15 18 + (7 * -1 + 4m * -1) = 2 + 2m + -15 18 + (-7 + -4m) = 2 + 2m + -15 Combine like terms: 18 + -7 = 11 11 + -4m = 2 + 2m + -15 Reorder the terms: 11 + -4m = 2 + -15 + 2m Combine like terms: 2 + -15 = -13 11 + -4m = -13 + 2m Solving 11 + -4m = -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. 11 + -4m + -2m = -13 + 2m + -2m Combine like terms: -4m + -2m = -6m 11 + -6m = -13 + 2m + -2m Combine like terms: 2m + -2m = 0 11 + -6m = -13 + 0 11 + -6m = -13 Add '-11' to each side of the equation. 11 + -11 + -6m = -13 + -11 Combine like terms: 11 + -11 = 0 0 + -6m = -13 + -11 -6m = -13 + -11 Combine like terms: -13 + -11 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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