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Simplifying 40.2 = 3(m + 2) Reorder the terms: 40.2 = 3(2 + m) 40.2 = (2 * 3 + m * 3) 40.2 = (6 + 3m) Solving 40.2 = 6 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 40.2 + -3m = 6 + 3m + -3m Combine like terms: 3m + -3m = 0 40.2 + -3m = 6 + 0 40.2 + -3m = 6 Add '-40.2' to each side of the equation. 40.2 + -40.2 + -3m = 6 + -40.2 Combine like terms: 40.2 + -40.2 = 0.0 0.0 + -3m = 6 + -40.2 -3m = 6 + -40.2 Combine like terms: 6 + -40.2 = -34.2 -3m = -34.2 Divide each side by '-3'. m = 11.4 Simplifying m = 11.4
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