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Simplifying 2(3m + 1) + 16 = 6(2m + -3) Reorder the terms: 2(1 + 3m) + 16 = 6(2m + -3) (1 * 2 + 3m * 2) + 16 = 6(2m + -3) (2 + 6m) + 16 = 6(2m + -3) Reorder the terms: 2 + 16 + 6m = 6(2m + -3) Combine like terms: 2 + 16 = 18 18 + 6m = 6(2m + -3) Reorder the terms: 18 + 6m = 6(-3 + 2m) 18 + 6m = (-3 * 6 + 2m * 6) 18 + 6m = (-18 + 12m) Solving 18 + 6m = -18 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 18 + 6m + -12m = -18 + 12m + -12m Combine like terms: 6m + -12m = -6m 18 + -6m = -18 + 12m + -12m Combine like terms: 12m + -12m = 0 18 + -6m = -18 + 0 18 + -6m = -18 Add '-18' to each side of the equation. 18 + -18 + -6m = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -6m = -18 + -18 -6m = -18 + -18 Combine like terms: -18 + -18 = -36 -6m = -36 Divide each side by '-6'. m = 6 Simplifying m = 6
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