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Simplifying 76.3 = 7(m + 2.7) Reorder the terms: 76.3 = 7(2.7 + m) 76.3 = (2.7 * 7 + m * 7) 76.3 = (18.9 + 7m) Solving 76.3 = 18.9 + 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. 76.3 + -7m = 18.9 + 7m + -7m Combine like terms: 7m + -7m = 0 76.3 + -7m = 18.9 + 0 76.3 + -7m = 18.9 Add '-76.3' to each side of the equation. 76.3 + -76.3 + -7m = 18.9 + -76.3 Combine like terms: 76.3 + -76.3 = 0.0 0.0 + -7m = 18.9 + -76.3 -7m = 18.9 + -76.3 Combine like terms: 18.9 + -76.3 = -57.4 -7m = -57.4 Divide each side by '-7'. m = 8.2 Simplifying m = 8.2
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