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Simplifying 83.2 = 8(m + 3.1) Reorder the terms: 83.2 = 8(3.1 + m) 83.2 = (3.1 * 8 + m * 8) 83.2 = (24.8 + 8m) Solving 83.2 = 24.8 + 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. 83.2 + -8m = 24.8 + 8m + -8m Combine like terms: 8m + -8m = 0 83.2 + -8m = 24.8 + 0 83.2 + -8m = 24.8 Add '-83.2' to each side of the equation. 83.2 + -83.2 + -8m = 24.8 + -83.2 Combine like terms: 83.2 + -83.2 = 0.0 0.0 + -8m = 24.8 + -83.2 -8m = 24.8 + -83.2 Combine like terms: 24.8 + -83.2 = -58.4 -8m = -58.4 Divide each side by '-8'. m = 7.3 Simplifying m = 7.3
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