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Simplifying -3(12m + 7) = 3(-17m + 20) + 9 Reorder the terms: -3(7 + 12m) = 3(-17m + 20) + 9 (7 * -3 + 12m * -3) = 3(-17m + 20) + 9 (-21 + -36m) = 3(-17m + 20) + 9 Reorder the terms: -21 + -36m = 3(20 + -17m) + 9 -21 + -36m = (20 * 3 + -17m * 3) + 9 -21 + -36m = (60 + -51m) + 9 Reorder the terms: -21 + -36m = 60 + 9 + -51m Combine like terms: 60 + 9 = 69 -21 + -36m = 69 + -51m Solving -21 + -36m = 69 + -51m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '51m' to each side of the equation. -21 + -36m + 51m = 69 + -51m + 51m Combine like terms: -36m + 51m = 15m -21 + 15m = 69 + -51m + 51m Combine like terms: -51m + 51m = 0 -21 + 15m = 69 + 0 -21 + 15m = 69 Add '21' to each side of the equation. -21 + 21 + 15m = 69 + 21 Combine like terms: -21 + 21 = 0 0 + 15m = 69 + 21 15m = 69 + 21 Combine like terms: 69 + 21 = 90 15m = 90 Divide each side by '15'. m = 6 Simplifying m = 6
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