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Simplifying 6r + 5(r + -2) + -2(s + 7) = 0 Reorder the terms: 6r + 5(-2 + r) + -2(s + 7) = 0 6r + (-2 * 5 + r * 5) + -2(s + 7) = 0 6r + (-10 + 5r) + -2(s + 7) = 0 Reorder the terms: 6r + -10 + 5r + -2(7 + s) = 0 6r + -10 + 5r + (7 * -2 + s * -2) = 0 6r + -10 + 5r + (-14 + -2s) = 0 Reorder the terms: -10 + -14 + 6r + 5r + -2s = 0 Combine like terms: -10 + -14 = -24 -24 + 6r + 5r + -2s = 0 Combine like terms: 6r + 5r = 11r -24 + 11r + -2s = 0 Solving -24 + 11r + -2s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 11r + 24 + -2s = 0 + 24 Reorder the terms: -24 + 24 + 11r + -2s = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 11r + -2s = 0 + 24 11r + -2s = 0 + 24 Combine like terms: 0 + 24 = 24 11r + -2s = 24 Add '2s' to each side of the equation. 11r + -2s + 2s = 24 + 2s Combine like terms: -2s + 2s = 0 11r + 0 = 24 + 2s 11r = 24 + 2s Divide each side by '11'. r = 2.181818182 + 0.1818181818s Simplifying r = 2.181818182 + 0.1818181818s
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