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Simplifying 15 + -1(4m + 3) = 3 + 2m + -15 Reorder the terms: 15 + -1(3 + 4m) = 3 + 2m + -15 15 + (3 * -1 + 4m * -1) = 3 + 2m + -15 15 + (-3 + -4m) = 3 + 2m + -15 Combine like terms: 15 + -3 = 12 12 + -4m = 3 + 2m + -15 Reorder the terms: 12 + -4m = 3 + -15 + 2m Combine like terms: 3 + -15 = -12 12 + -4m = -12 + 2m Solving 12 + -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. 12 + -4m + -2m = -12 + 2m + -2m Combine like terms: -4m + -2m = -6m 12 + -6m = -12 + 2m + -2m Combine like terms: 2m + -2m = 0 12 + -6m = -12 + 0 12 + -6m = -12 Add '-12' to each side of the equation. 12 + -12 + -6m = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6m = -12 + -12 -6m = -12 + -12 Combine like terms: -12 + -12 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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