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