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Simplifying (-6r + -2s) + -1(-1r + -3s) = 0 Remove parenthesis around (-6r + -2s) -6r + -2s + -1(-1r + -3s) = 0 -6r + -2s + (-1r * -1 + -3s * -1) = 0 -6r + -2s + (1r + 3s) = 0 Reorder the terms: -6r + 1r + -2s + 3s = 0 Combine like terms: -6r + 1r = -5r -5r + -2s + 3s = 0 Combine like terms: -2s + 3s = 1s -5r + 1s = 0 Solving -5r + 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. -5r + 1s + -1s = 0 + -1s Combine like terms: 1s + -1s = 0 -5r + 0 = 0 + -1s -5r = 0 + -1s Remove the zero: -5r = -1s Divide each side by '-5'. r = 0.2s Simplifying r = 0.2s
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