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Simplifying 7(2m + 3) = 4(5m + -3) Reorder the terms: 7(3 + 2m) = 4(5m + -3) (3 * 7 + 2m * 7) = 4(5m + -3) (21 + 14m) = 4(5m + -3) Reorder the terms: 21 + 14m = 4(-3 + 5m) 21 + 14m = (-3 * 4 + 5m * 4) 21 + 14m = (-12 + 20m) Solving 21 + 14m = -12 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 21 + 14m + -20m = -12 + 20m + -20m Combine like terms: 14m + -20m = -6m 21 + -6m = -12 + 20m + -20m Combine like terms: 20m + -20m = 0 21 + -6m = -12 + 0 21 + -6m = -12 Add '-21' to each side of the equation. 21 + -21 + -6m = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -6m = -12 + -21 -6m = -12 + -21 Combine like terms: -12 + -21 = -33 -6m = -33 Divide each side by '-6'. m = 5.5 Simplifying m = 5.5
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