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Simplifying 62.4 = 6(m + 2.1) Reorder the terms: 62.4 = 6(2.1 + m) 62.4 = (2.1 * 6 + m * 6) 62.4 = (12.6 + 6m) Solving 62.4 = 12.6 + 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. 62.4 + -6m = 12.6 + 6m + -6m Combine like terms: 6m + -6m = 0 62.4 + -6m = 12.6 + 0 62.4 + -6m = 12.6 Add '-62.4' to each side of the equation. 62.4 + -62.4 + -6m = 12.6 + -62.4 Combine like terms: 62.4 + -62.4 = 0.0 0.0 + -6m = 12.6 + -62.4 -6m = 12.6 + -62.4 Combine like terms: 12.6 + -62.4 = -49.8 -6m = -49.8 Divide each side by '-6'. m = 8.3 Simplifying m = 8.3
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