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Simplifying -6(-4m + 17) + -4m = 10 + 13m + 14m Reorder the terms: -6(17 + -4m) + -4m = 10 + 13m + 14m (17 * -6 + -4m * -6) + -4m = 10 + 13m + 14m (-102 + 24m) + -4m = 10 + 13m + 14m Combine like terms: 24m + -4m = 20m -102 + 20m = 10 + 13m + 14m Combine like terms: 13m + 14m = 27m -102 + 20m = 10 + 27m Solving -102 + 20m = 10 + 27m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-27m' to each side of the equation. -102 + 20m + -27m = 10 + 27m + -27m Combine like terms: 20m + -27m = -7m -102 + -7m = 10 + 27m + -27m Combine like terms: 27m + -27m = 0 -102 + -7m = 10 + 0 -102 + -7m = 10 Add '102' to each side of the equation. -102 + 102 + -7m = 10 + 102 Combine like terms: -102 + 102 = 0 0 + -7m = 10 + 102 -7m = 10 + 102 Combine like terms: 10 + 102 = 112 -7m = 112 Divide each side by '-7'. m = -16 Simplifying m = -16
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