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Simplifying 7(2m + 3) = 3(4m + -7) Reorder the terms: 7(3 + 2m) = 3(4m + -7) (3 * 7 + 2m * 7) = 3(4m + -7) (21 + 14m) = 3(4m + -7) Reorder the terms: 21 + 14m = 3(-7 + 4m) 21 + 14m = (-7 * 3 + 4m * 3) 21 + 14m = (-21 + 12m) Solving 21 + 14m = -21 + 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. 21 + 14m + -12m = -21 + 12m + -12m Combine like terms: 14m + -12m = 2m 21 + 2m = -21 + 12m + -12m Combine like terms: 12m + -12m = 0 21 + 2m = -21 + 0 21 + 2m = -21 Add '-21' to each side of the equation. 21 + -21 + 2m = -21 + -21 Combine like terms: 21 + -21 = 0 0 + 2m = -21 + -21 2m = -21 + -21 Combine like terms: -21 + -21 = -42 2m = -42 Divide each side by '2'. m = -21 Simplifying m = -21
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