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Simplifying 3.2(6m + -3) + 2m + -5.6 = 12 + 7.6m Reorder the terms: 3.2(-3 + 6m) + 2m + -5.6 = 12 + 7.6m (-3 * 3.2 + 6m * 3.2) + 2m + -5.6 = 12 + 7.6m (-9.6 + 19.2m) + 2m + -5.6 = 12 + 7.6m Reorder the terms: -9.6 + -5.6 + 19.2m + 2m = 12 + 7.6m Combine like terms: -9.6 + -5.6 = -15.2 -15.2 + 19.2m + 2m = 12 + 7.6m Combine like terms: 19.2m + 2m = 21.2m -15.2 + 21.2m = 12 + 7.6m Solving -15.2 + 21.2m = 12 + 7.6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7.6m' to each side of the equation. -15.2 + 21.2m + -7.6m = 12 + 7.6m + -7.6m Combine like terms: 21.2m + -7.6m = 13.6m -15.2 + 13.6m = 12 + 7.6m + -7.6m Combine like terms: 7.6m + -7.6m = 0.0 -15.2 + 13.6m = 12 + 0.0 -15.2 + 13.6m = 12 Add '15.2' to each side of the equation. -15.2 + 15.2 + 13.6m = 12 + 15.2 Combine like terms: -15.2 + 15.2 = 0.0 0.0 + 13.6m = 12 + 15.2 13.6m = 12 + 15.2 Combine like terms: 12 + 15.2 = 27.2 13.6m = 27.2 Divide each side by '13.6'. m = 2 Simplifying m = 2
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