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Simplifying -1m + -27 = -5(-6m + -7) Reorder the terms: -27 + -1m = -5(-6m + -7) Reorder the terms: -27 + -1m = -5(-7 + -6m) -27 + -1m = (-7 * -5 + -6m * -5) -27 + -1m = (35 + 30m) Solving -27 + -1m = 35 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. -27 + -1m + -30m = 35 + 30m + -30m Combine like terms: -1m + -30m = -31m -27 + -31m = 35 + 30m + -30m Combine like terms: 30m + -30m = 0 -27 + -31m = 35 + 0 -27 + -31m = 35 Add '27' to each side of the equation. -27 + 27 + -31m = 35 + 27 Combine like terms: -27 + 27 = 0 0 + -31m = 35 + 27 -31m = 35 + 27 Combine like terms: 35 + 27 = 62 -31m = 62 Divide each side by '-31'. m = -2 Simplifying m = -2
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