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Simplifying r + 2s + -1(-3r) + -1s = 0 Remove parenthesis around (-3r) r + 2s + -1 * -3r + -1s = 0 Multiply -1 * -3 r + 2s + 3r + -1s = 0 Reorder the terms: r + 3r + 2s + -1s = 0 Combine like terms: r + 3r = 4r 4r + 2s + -1s = 0 Combine like terms: 2s + -1s = 1s 4r + 1s = 0 Solving 4r + 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. 4r + 1s + -1s = 0 + -1s Combine like terms: 1s + -1s = 0 4r + 0 = 0 + -1s 4r = 0 + -1s Remove the zero: 4r = -1s Divide each side by '4'. r = -0.25s Simplifying r = -0.25s
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