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Simplifying 67.8 = 6(m + 3.2) Reorder the terms: 67.8 = 6(3.2 + m) 67.8 = (3.2 * 6 + m * 6) 67.8 = (19.2 + 6m) Solving 67.8 = 19.2 + 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. 67.8 + -6m = 19.2 + 6m + -6m Combine like terms: 6m + -6m = 0 67.8 + -6m = 19.2 + 0 67.8 + -6m = 19.2 Add '-67.8' to each side of the equation. 67.8 + -67.8 + -6m = 19.2 + -67.8 Combine like terms: 67.8 + -67.8 = 0.0 0.0 + -6m = 19.2 + -67.8 -6m = 19.2 + -67.8 Combine like terms: 19.2 + -67.8 = -48.6 -6m = -48.6 Divide each side by '-6'. m = 8.1 Simplifying m = 8.1
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