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Simplifying -1(-2r + 7s) + 2(r + s) = 0 (-2r * -1 + 7s * -1) + 2(r + s) = 0 (2r + -7s) + 2(r + s) = 0 2r + -7s + (r * 2 + s * 2) = 0 2r + -7s + (2r + 2s) = 0 Reorder the terms: 2r + 2r + -7s + 2s = 0 Combine like terms: 2r + 2r = 4r 4r + -7s + 2s = 0 Combine like terms: -7s + 2s = -5s 4r + -5s = 0 Solving 4r + -5s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5s' to each side of the equation. 4r + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 4r + 0 = 0 + 5s 4r = 0 + 5s Remove the zero: 4r = 5s Divide each side by '4'. r = 1.25s Simplifying r = 1.25s
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