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Simplifying 14 + -1(5m + 6) = 4 + 2m + -17 Reorder the terms: 14 + -1(6 + 5m) = 4 + 2m + -17 14 + (6 * -1 + 5m * -1) = 4 + 2m + -17 14 + (-6 + -5m) = 4 + 2m + -17 Combine like terms: 14 + -6 = 8 8 + -5m = 4 + 2m + -17 Reorder the terms: 8 + -5m = 4 + -17 + 2m Combine like terms: 4 + -17 = -13 8 + -5m = -13 + 2m Solving 8 + -5m = -13 + 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. 8 + -5m + -2m = -13 + 2m + -2m Combine like terms: -5m + -2m = -7m 8 + -7m = -13 + 2m + -2m Combine like terms: 2m + -2m = 0 8 + -7m = -13 + 0 8 + -7m = -13 Add '-8' to each side of the equation. 8 + -8 + -7m = -13 + -8 Combine like terms: 8 + -8 = 0 0 + -7m = -13 + -8 -7m = -13 + -8 Combine like terms: -13 + -8 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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