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Simplifying 54 = 6(5m + -3) + 6m Reorder the terms: 54 = 6(-3 + 5m) + 6m 54 = (-3 * 6 + 5m * 6) + 6m 54 = (-18 + 30m) + 6m Combine like terms: 30m + 6m = 36m 54 = -18 + 36m Solving 54 = -18 + 36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36m' to each side of the equation. 54 + -36m = -18 + 36m + -36m Combine like terms: 36m + -36m = 0 54 + -36m = -18 + 0 54 + -36m = -18 Add '-54' to each side of the equation. 54 + -54 + -36m = -18 + -54 Combine like terms: 54 + -54 = 0 0 + -36m = -18 + -54 -36m = -18 + -54 Combine like terms: -18 + -54 = -72 -36m = -72 Divide each side by '-36'. m = 2 Simplifying m = 2
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