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Simplifying 8(-2m + -7) = 5m + -14 Reorder the terms: 8(-7 + -2m) = 5m + -14 (-7 * 8 + -2m * 8) = 5m + -14 (-56 + -16m) = 5m + -14 Reorder the terms: -56 + -16m = -14 + 5m Solving -56 + -16m = -14 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -56 + -16m + -5m = -14 + 5m + -5m Combine like terms: -16m + -5m = -21m -56 + -21m = -14 + 5m + -5m Combine like terms: 5m + -5m = 0 -56 + -21m = -14 + 0 -56 + -21m = -14 Add '56' to each side of the equation. -56 + 56 + -21m = -14 + 56 Combine like terms: -56 + 56 = 0 0 + -21m = -14 + 56 -21m = -14 + 56 Combine like terms: -14 + 56 = 42 -21m = 42 Divide each side by '-21'. m = -2 Simplifying m = -2
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