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Simplifying 10 * 0.8m + 10 * 2.6 = 10 * 0.2m + 10 * 9.8 Multiply 10 * 0.8 8m + 10 * 2.6 = 10 * 0.2m + 10 * 9.8 Multiply 10 * 2.6 8m + 26 = 10 * 0.2m + 10 * 9.8 Reorder the terms: 26 + 8m = 10 * 0.2m + 10 * 9.8 Multiply 10 * 0.2 26 + 8m = 2m + 10 * 9.8 Multiply 10 * 9.8 26 + 8m = 2m + 98 Reorder the terms: 26 + 8m = 98 + 2m Solving 26 + 8m = 98 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 26 + 8m + -2m = 98 + 2m + -2m Combine like terms: 8m + -2m = 6m 26 + 6m = 98 + 2m + -2m Combine like terms: 2m + -2m = 0 26 + 6m = 98 + 0 26 + 6m = 98 Add '-26' to each side of the equation. 26 + -26 + 6m = 98 + -26 Combine like terms: 26 + -26 = 0 0 + 6m = 98 + -26 6m = 98 + -26 Combine like terms: 98 + -26 = 72 6m = 72 Divide each side by '6'. m = 12 Simplifying m = 12
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