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Simplifying 7r + -6s + 2r + 3s = 0 Reorder the terms: 7r + 2r + -6s + 3s = 0 Combine like terms: 7r + 2r = 9r 9r + -6s + 3s = 0 Combine like terms: -6s + 3s = -3s 9r + -3s = 0 Solving 9r + -3s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3s' to each side of the equation. 9r + -3s + 3s = 0 + 3s Combine like terms: -3s + 3s = 0 9r + 0 = 0 + 3s 9r = 0 + 3s Remove the zero: 9r = 3s Divide each side by '9'. r = 0.3333333333s Simplifying r = 0.3333333333s
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