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Simplifying 4(2m + 3) = 7m + 65 Reorder the terms: 4(3 + 2m) = 7m + 65 (3 * 4 + 2m * 4) = 7m + 65 (12 + 8m) = 7m + 65 Reorder the terms: 12 + 8m = 65 + 7m Solving 12 + 8m = 65 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 12 + 8m + -7m = 65 + 7m + -7m Combine like terms: 8m + -7m = 1m 12 + 1m = 65 + 7m + -7m Combine like terms: 7m + -7m = 0 12 + 1m = 65 + 0 12 + 1m = 65 Add '-12' to each side of the equation. 12 + -12 + 1m = 65 + -12 Combine like terms: 12 + -12 = 0 0 + 1m = 65 + -12 1m = 65 + -12 Combine like terms: 65 + -12 = 53 1m = 53 Divide each side by '1'. m = 53 Simplifying m = 53
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