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Simplifying 76.8 = 8(m + 2.9) Reorder the terms: 76.8 = 8(2.9 + m) 76.8 = (2.9 * 8 + m * 8) 76.8 = (23.2 + 8m) Solving 76.8 = 23.2 + 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. 76.8 + -8m = 23.2 + 8m + -8m Combine like terms: 8m + -8m = 0 76.8 + -8m = 23.2 + 0 76.8 + -8m = 23.2 Add '-76.8' to each side of the equation. 76.8 + -76.8 + -8m = 23.2 + -76.8 Combine like terms: 76.8 + -76.8 = 0.0 0.0 + -8m = 23.2 + -76.8 -8m = 23.2 + -76.8 Combine like terms: 23.2 + -76.8 = -53.6 -8m = -53.6 Divide each side by '-8'. m = 6.7 Simplifying m = 6.7
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