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Simplifying 10(m + 9 + 4n) = 0 Reorder the terms: 10(9 + m + 4n) = 0 (9 * 10 + m * 10 + 4n * 10) = 0 (90 + 10m + 40n) = 0 Solving 90 + 10m + 40n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + 10m + -90 + 40n = 0 + -90 Reorder the terms: 90 + -90 + 10m + 40n = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 10m + 40n = 0 + -90 10m + 40n = 0 + -90 Combine like terms: 0 + -90 = -90 10m + 40n = -90 Add '-40n' to each side of the equation. 10m + 40n + -40n = -90 + -40n Combine like terms: 40n + -40n = 0 10m + 0 = -90 + -40n 10m = -90 + -40n Divide each side by '10'. m = -9 + -4n Simplifying m = -9 + -4n
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