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Simplifying 85.6 = 8(m + 3.4) Reorder the terms: 85.6 = 8(3.4 + m) 85.6 = (3.4 * 8 + m * 8) 85.6 = (27.2 + 8m) Solving 85.6 = 27.2 + 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. 85.6 + -8m = 27.2 + 8m + -8m Combine like terms: 8m + -8m = 0 85.6 + -8m = 27.2 + 0 85.6 + -8m = 27.2 Add '-85.6' to each side of the equation. 85.6 + -85.6 + -8m = 27.2 + -85.6 Combine like terms: 85.6 + -85.6 = 0.0 0.0 + -8m = 27.2 + -85.6 -8m = 27.2 + -85.6 Combine like terms: 27.2 + -85.6 = -58.4 -8m = -58.4 Divide each side by '-8'. m = 7.3 Simplifying m = 7.3
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