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Simplifying 81.9 = 7(m + 3.1) Reorder the terms: 81.9 = 7(3.1 + m) 81.9 = (3.1 * 7 + m * 7) 81.9 = (21.7 + 7m) Solving 81.9 = 21.7 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 81.9 + -7m = 21.7 + 7m + -7m Combine like terms: 7m + -7m = 0 81.9 + -7m = 21.7 + 0 81.9 + -7m = 21.7 Add '-81.9' to each side of the equation. 81.9 + -81.9 + -7m = 21.7 + -81.9 Combine like terms: 81.9 + -81.9 = 0.0 0.0 + -7m = 21.7 + -81.9 -7m = 21.7 + -81.9 Combine like terms: 21.7 + -81.9 = -60.2 -7m = -60.2 Divide each side by '-7'. m = 8.6 Simplifying m = 8.6
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