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Simplifying 2(4m + 3) = 22 + 4m Reorder the terms: 2(3 + 4m) = 22 + 4m (3 * 2 + 4m * 2) = 22 + 4m (6 + 8m) = 22 + 4m Solving 6 + 8m = 22 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 6 + 8m + -4m = 22 + 4m + -4m Combine like terms: 8m + -4m = 4m 6 + 4m = 22 + 4m + -4m Combine like terms: 4m + -4m = 0 6 + 4m = 22 + 0 6 + 4m = 22 Add '-6' to each side of the equation. 6 + -6 + 4m = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 4m = 22 + -6 4m = 22 + -6 Combine like terms: 22 + -6 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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