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Simplifying 4(9.7 + -8.1) = m(9.7) + -1m(8.1) Combine like terms: 9.7 + -8.1 = 1.6 4(1.6) = m(9.7) + -1m(8.1) Multiply 4 * 1.6 6.4 = m(9.7) + -1m(8.1) Reorder the terms for easier multiplication: 6.4 = 9.7m + -1m(8.1) Reorder the terms for easier multiplication: 6.4 = 9.7m + -1 * 8.1m Multiply -1 * 8.1 6.4 = 9.7m + -8.1m Combine like terms: 9.7m + -8.1m = 1.6m 6.4 = 1.6m Solving 6.4 = 1.6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.6m' to each side of the equation. 6.4 + -1.6m = 1.6m + -1.6m Combine like terms: 1.6m + -1.6m = 0.0 6.4 + -1.6m = 0.0 Add '-6.4' to each side of the equation. 6.4 + -6.4 + -1.6m = 0.0 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + -1.6m = 0.0 + -6.4 -1.6m = 0.0 + -6.4 Combine like terms: 0.0 + -6.4 = -6.4 -1.6m = -6.4 Divide each side by '-1.6'. m = 4 Simplifying m = 4
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