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Simplifying 14 + -1(4m + 7) = 3 + 2m + -14 Reorder the terms: 14 + -1(7 + 4m) = 3 + 2m + -14 14 + (7 * -1 + 4m * -1) = 3 + 2m + -14 14 + (-7 + -4m) = 3 + 2m + -14 Combine like terms: 14 + -7 = 7 7 + -4m = 3 + 2m + -14 Reorder the terms: 7 + -4m = 3 + -14 + 2m Combine like terms: 3 + -14 = -11 7 + -4m = -11 + 2m Solving 7 + -4m = -11 + 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. 7 + -4m + -2m = -11 + 2m + -2m Combine like terms: -4m + -2m = -6m 7 + -6m = -11 + 2m + -2m Combine like terms: 2m + -2m = 0 7 + -6m = -11 + 0 7 + -6m = -11 Add '-7' to each side of the equation. 7 + -7 + -6m = -11 + -7 Combine like terms: 7 + -7 = 0 0 + -6m = -11 + -7 -6m = -11 + -7 Combine like terms: -11 + -7 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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