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Simplifying 14 + -1(4m + 8) = 3 + 2m + -15 Reorder the terms: 14 + -1(8 + 4m) = 3 + 2m + -15 14 + (8 * -1 + 4m * -1) = 3 + 2m + -15 14 + (-8 + -4m) = 3 + 2m + -15 Combine like terms: 14 + -8 = 6 6 + -4m = 3 + 2m + -15 Reorder the terms: 6 + -4m = 3 + -15 + 2m Combine like terms: 3 + -15 = -12 6 + -4m = -12 + 2m Solving 6 + -4m = -12 + 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. 6 + -4m + -2m = -12 + 2m + -2m Combine like terms: -4m + -2m = -6m 6 + -6m = -12 + 2m + -2m Combine like terms: 2m + -2m = 0 6 + -6m = -12 + 0 6 + -6m = -12 Add '-6' to each side of the equation. 6 + -6 + -6m = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -6m = -12 + -6 -6m = -12 + -6 Combine like terms: -12 + -6 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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