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Simplifying 54.6 = 6(m + 2.9) Reorder the terms: 54.6 = 6(2.9 + m) 54.6 = (2.9 * 6 + m * 6) 54.6 = (17.4 + 6m) Solving 54.6 = 17.4 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 54.6 + -6m = 17.4 + 6m + -6m Combine like terms: 6m + -6m = 0 54.6 + -6m = 17.4 + 0 54.6 + -6m = 17.4 Add '-54.6' to each side of the equation. 54.6 + -54.6 + -6m = 17.4 + -54.6 Combine like terms: 54.6 + -54.6 = 0.0 0.0 + -6m = 17.4 + -54.6 -6m = 17.4 + -54.6 Combine like terms: 17.4 + -54.6 = -37.2 -6m = -37.2 Divide each side by '-6'. m = 6.2 Simplifying m = 6.2
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