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Simplifying 5r + -3s + -6r + 2s = 0 Reorder the terms: 5r + -6r + -3s + 2s = 0 Combine like terms: 5r + -6r = -1r -1r + -3s + 2s = 0 Combine like terms: -3s + 2s = -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 's' to each side of the equation. -1r + -1s + s = 0 + s Combine like terms: -1s + s = 0 -1r + 0 = 0 + s -1r = 0 + s Remove the zero: -1r = s Divide each side by '-1'. r = -1s Simplifying r = -1s
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