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Simplifying -109 = -5(3m + -1) + 6 Reorder the terms: -109 = -5(-1 + 3m) + 6 -109 = (-1 * -5 + 3m * -5) + 6 -109 = (5 + -15m) + 6 Reorder the terms: -109 = 5 + 6 + -15m Combine like terms: 5 + 6 = 11 -109 = 11 + -15m Solving -109 = 11 + -15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15m' to each side of the equation. -109 + 15m = 11 + -15m + 15m Combine like terms: -15m + 15m = 0 -109 + 15m = 11 + 0 -109 + 15m = 11 Add '109' to each side of the equation. -109 + 109 + 15m = 11 + 109 Combine like terms: -109 + 109 = 0 0 + 15m = 11 + 109 15m = 11 + 109 Combine like terms: 11 + 109 = 120 15m = 120 Divide each side by '15'. m = 8 Simplifying m = 8
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