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