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Simplifying 15 + -1(4m + 1) = 4 + 4m + -12 Reorder the terms: 15 + -1(1 + 4m) = 4 + 4m + -12 15 + (1 * -1 + 4m * -1) = 4 + 4m + -12 15 + (-1 + -4m) = 4 + 4m + -12 Combine like terms: 15 + -1 = 14 14 + -4m = 4 + 4m + -12 Reorder the terms: 14 + -4m = 4 + -12 + 4m Combine like terms: 4 + -12 = -8 14 + -4m = -8 + 4m Solving 14 + -4m = -8 + 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. 14 + -4m + -4m = -8 + 4m + -4m Combine like terms: -4m + -4m = -8m 14 + -8m = -8 + 4m + -4m Combine like terms: 4m + -4m = 0 14 + -8m = -8 + 0 14 + -8m = -8 Add '-14' to each side of the equation. 14 + -14 + -8m = -8 + -14 Combine like terms: 14 + -14 = 0 0 + -8m = -8 + -14 -8m = -8 + -14 Combine like terms: -8 + -14 = -22 -8m = -22 Divide each side by '-8'. m = 2.75 Simplifying m = 2.75
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