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Simplifying -3(17 + -1m) = -2(m + 8) (17 * -3 + -1m * -3) = -2(m + 8) (-51 + 3m) = -2(m + 8) Reorder the terms: -51 + 3m = -2(8 + m) -51 + 3m = (8 * -2 + m * -2) -51 + 3m = (-16 + -2m) Solving -51 + 3m = -16 + -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. -51 + 3m + 2m = -16 + -2m + 2m Combine like terms: 3m + 2m = 5m -51 + 5m = -16 + -2m + 2m Combine like terms: -2m + 2m = 0 -51 + 5m = -16 + 0 -51 + 5m = -16 Add '51' to each side of the equation. -51 + 51 + 5m = -16 + 51 Combine like terms: -51 + 51 = 0 0 + 5m = -16 + 51 5m = -16 + 51 Combine like terms: -16 + 51 = 35 5m = 35 Divide each side by '5'. m = 7 Simplifying m = 7
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