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Simplifying 66.6 = 6(m + 3.4) Reorder the terms: 66.6 = 6(3.4 + m) 66.6 = (3.4 * 6 + m * 6) 66.6 = (20.4 + 6m) Solving 66.6 = 20.4 + 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. 66.6 + -6m = 20.4 + 6m + -6m Combine like terms: 6m + -6m = 0 66.6 + -6m = 20.4 + 0 66.6 + -6m = 20.4 Add '-66.6' to each side of the equation. 66.6 + -66.6 + -6m = 20.4 + -66.6 Combine like terms: 66.6 + -66.6 = 0.0 0.0 + -6m = 20.4 + -66.6 -6m = 20.4 + -66.6 Combine like terms: 20.4 + -66.6 = -46.2 -6m = -46.2 Divide each side by '-6'. m = 7.7 Simplifying m = 7.7
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