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Simplifying 7r + 8s + -3(9r + -3s) = 0 7r + 8s + (9r * -3 + -3s * -3) = 0 7r + 8s + (-27r + 9s) = 0 Reorder the terms: 7r + -27r + 8s + 9s = 0 Combine like terms: 7r + -27r = -20r -20r + 8s + 9s = 0 Combine like terms: 8s + 9s = 17s -20r + 17s = 0 Solving -20r + 17s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-17s' to each side of the equation. -20r + 17s + -17s = 0 + -17s Combine like terms: 17s + -17s = 0 -20r + 0 = 0 + -17s -20r = 0 + -17s Remove the zero: -20r = -17s Divide each side by '-20'. r = 0.85s Simplifying r = 0.85s
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