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Simplifying 6r + 4s + -5(9r + -6s) = 0 6r + 4s + (9r * -5 + -6s * -5) = 0 6r + 4s + (-45r + 30s) = 0 Reorder the terms: 6r + -45r + 4s + 30s = 0 Combine like terms: 6r + -45r = -39r -39r + 4s + 30s = 0 Combine like terms: 4s + 30s = 34s -39r + 34s = 0 Solving -39r + 34s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-34s' to each side of the equation. -39r + 34s + -34s = 0 + -34s Combine like terms: 34s + -34s = 0 -39r + 0 = 0 + -34s -39r = 0 + -34s Remove the zero: -39r = -34s Divide each side by '-39'. r = 0.8717948718s Simplifying r = 0.8717948718s
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