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Simplifying 5m + 2 + -6(-2m + 3) + (-1) = 17 Reorder the terms: 5m + 2 + -6(3 + -2m) + (-1) = 17 5m + 2 + (3 * -6 + -2m * -6) + (-1) = 17 5m + 2 + (-18 + 12m) + (-1) = 17 5m + 2 + -18 + 12m + -1 = 17 Reorder the terms: 2 + -18 + -1 + 5m + 12m = 17 Combine like terms: 2 + -18 = -16 -16 + -1 + 5m + 12m = 17 Combine like terms: -16 + -1 = -17 -17 + 5m + 12m = 17 Combine like terms: 5m + 12m = 17m -17 + 17m = 17 Solving -17 + 17m = 17 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 17m = 17 + 17 Combine like terms: -17 + 17 = 0 0 + 17m = 17 + 17 17m = 17 + 17 Combine like terms: 17 + 17 = 34 17m = 34 Divide each side by '17'. m = 2 Simplifying m = 2
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