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Simplifying 4r + 5s + -2(8r + -2s) = 0 4r + 5s + (8r * -2 + -2s * -2) = 0 4r + 5s + (-16r + 4s) = 0 Reorder the terms: 4r + -16r + 5s + 4s = 0 Combine like terms: 4r + -16r = -12r -12r + 5s + 4s = 0 Combine like terms: 5s + 4s = 9s -12r + 9s = 0 Solving -12r + 9s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9s' to each side of the equation. -12r + 9s + -9s = 0 + -9s Combine like terms: 9s + -9s = 0 -12r + 0 = 0 + -9s -12r = 0 + -9s Remove the zero: -12r = -9s Divide each side by '-12'. r = 0.75s Simplifying r = 0.75s
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