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Simplifying 5r + 2s + -2(7r + -5s) = 0 5r + 2s + (7r * -2 + -5s * -2) = 0 5r + 2s + (-14r + 10s) = 0 Reorder the terms: 5r + -14r + 2s + 10s = 0 Combine like terms: 5r + -14r = -9r -9r + 2s + 10s = 0 Combine like terms: 2s + 10s = 12s -9r + 12s = 0 Solving -9r + 12s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12s' to each side of the equation. -9r + 12s + -12s = 0 + -12s Combine like terms: 12s + -12s = 0 -9r + 0 = 0 + -12s -9r = 0 + -12s Remove the zero: -9r = -12s Divide each side by '-9'. r = 1.333333333s Simplifying r = 1.333333333s
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