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Simplifying 84 = 5m + 3(4m + -6) Reorder the terms: 84 = 5m + 3(-6 + 4m) 84 = 5m + (-6 * 3 + 4m * 3) 84 = 5m + (-18 + 12m) Reorder the terms: 84 = -18 + 5m + 12m Combine like terms: 5m + 12m = 17m 84 = -18 + 17m Solving 84 = -18 + 17m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17m' to each side of the equation. 84 + -17m = -18 + 17m + -17m Combine like terms: 17m + -17m = 0 84 + -17m = -18 + 0 84 + -17m = -18 Add '-84' to each side of the equation. 84 + -84 + -17m = -18 + -84 Combine like terms: 84 + -84 = 0 0 + -17m = -18 + -84 -17m = -18 + -84 Combine like terms: -18 + -84 = -102 -17m = -102 Divide each side by '-17'. m = 6 Simplifying m = 6
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