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Simplifying 2r + 7s + -8(6r + -2s) = 0 2r + 7s + (6r * -8 + -2s * -8) = 0 2r + 7s + (-48r + 16s) = 0 Reorder the terms: 2r + -48r + 7s + 16s = 0 Combine like terms: 2r + -48r = -46r -46r + 7s + 16s = 0 Combine like terms: 7s + 16s = 23s -46r + 23s = 0 Solving -46r + 23s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-23s' to each side of the equation. -46r + 23s + -23s = 0 + -23s Combine like terms: 23s + -23s = 0 -46r + 0 = 0 + -23s -46r = 0 + -23s Remove the zero: -46r = -23s Divide each side by '-46'. r = 0.5s Simplifying r = 0.5s
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