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Simplifying 3r + 7s + -8(9r + -4s) = 0 3r + 7s + (9r * -8 + -4s * -8) = 0 3r + 7s + (-72r + 32s) = 0 Reorder the terms: 3r + -72r + 7s + 32s = 0 Combine like terms: 3r + -72r = -69r -69r + 7s + 32s = 0 Combine like terms: 7s + 32s = 39s -69r + 39s = 0 Solving -69r + 39s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-39s' to each side of the equation. -69r + 39s + -39s = 0 + -39s Combine like terms: 39s + -39s = 0 -69r + 0 = 0 + -39s -69r = 0 + -39s Remove the zero: -69r = -39s Divide each side by '-69'. r = 0.5652173913s Simplifying r = 0.5652173913s
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