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Simplifying 19 + -1(4m + 5) = 3 + 3m + -17 Reorder the terms: 19 + -1(5 + 4m) = 3 + 3m + -17 19 + (5 * -1 + 4m * -1) = 3 + 3m + -17 19 + (-5 + -4m) = 3 + 3m + -17 Combine like terms: 19 + -5 = 14 14 + -4m = 3 + 3m + -17 Reorder the terms: 14 + -4m = 3 + -17 + 3m Combine like terms: 3 + -17 = -14 14 + -4m = -14 + 3m Solving 14 + -4m = -14 + 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 = -14 + 3m + -3m Combine like terms: -4m + -3m = -7m 14 + -7m = -14 + 3m + -3m Combine like terms: 3m + -3m = 0 14 + -7m = -14 + 0 14 + -7m = -14 Add '-14' to each side of the equation. 14 + -14 + -7m = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -7m = -14 + -14 -7m = -14 + -14 Combine like terms: -14 + -14 = -28 -7m = -28 Divide each side by '-7'. m = 4 Simplifying m = 4
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