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Simplifying 17 + -1(4m + 3) = 4 + 3m + -11 Reorder the terms: 17 + -1(3 + 4m) = 4 + 3m + -11 17 + (3 * -1 + 4m * -1) = 4 + 3m + -11 17 + (-3 + -4m) = 4 + 3m + -11 Combine like terms: 17 + -3 = 14 14 + -4m = 4 + 3m + -11 Reorder the terms: 14 + -4m = 4 + -11 + 3m Combine like terms: 4 + -11 = -7 14 + -4m = -7 + 3m Solving 14 + -4m = -7 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 14 + -4m + -3m = -7 + 3m + -3m Combine like terms: -4m + -3m = -7m 14 + -7m = -7 + 3m + -3m Combine like terms: 3m + -3m = 0 14 + -7m = -7 + 0 14 + -7m = -7 Add '-14' to each side of the equation. 14 + -14 + -7m = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -7m = -7 + -14 -7m = -7 + -14 Combine like terms: -7 + -14 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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