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Simplifying 82.4 = 8(m + 3.2) Reorder the terms: 82.4 = 8(3.2 + m) 82.4 = (3.2 * 8 + m * 8) 82.4 = (25.6 + 8m) Solving 82.4 = 25.6 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 82.4 + -8m = 25.6 + 8m + -8m Combine like terms: 8m + -8m = 0 82.4 + -8m = 25.6 + 0 82.4 + -8m = 25.6 Add '-82.4' to each side of the equation. 82.4 + -82.4 + -8m = 25.6 + -82.4 Combine like terms: 82.4 + -82.4 = 0.0 0.0 + -8m = 25.6 + -82.4 -8m = 25.6 + -82.4 Combine like terms: 25.6 + -82.4 = -56.8 -8m = -56.8 Divide each side by '-8'. m = 7.1 Simplifying m = 7.1
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