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Simplifying 5r + 4s + -5(4r + -2s) = 0 5r + 4s + (4r * -5 + -2s * -5) = 0 5r + 4s + (-20r + 10s) = 0 Reorder the terms: 5r + -20r + 4s + 10s = 0 Combine like terms: 5r + -20r = -15r -15r + 4s + 10s = 0 Combine like terms: 4s + 10s = 14s -15r + 14s = 0 Solving -15r + 14s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14s' to each side of the equation. -15r + 14s + -14s = 0 + -14s Combine like terms: 14s + -14s = 0 -15r + 0 = 0 + -14s -15r = 0 + -14s Remove the zero: -15r = -14s Divide each side by '-15'. r = 0.9333333333s Simplifying r = 0.9333333333s
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