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Simplifying 6 + -2(r + -3s) = r + -5s 6 + (r * -2 + -3s * -2) = r + -5s 6 + (-2r + 6s) = r + -5s Solving 6 + -2r + 6s = r + -5s Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 6 + -2r + -1r + 6s = r + -1r + -5s Combine like terms: -2r + -1r = -3r 6 + -3r + 6s = r + -1r + -5s Combine like terms: r + -1r = 0 6 + -3r + 6s = 0 + -5s 6 + -3r + 6s = -5s Add '-6' to each side of the equation. 6 + -3r + -6 + 6s = -6 + -5s Reorder the terms: 6 + -6 + -3r + 6s = -6 + -5s Combine like terms: 6 + -6 = 0 0 + -3r + 6s = -6 + -5s -3r + 6s = -6 + -5s Add '-6s' to each side of the equation. -3r + 6s + -6s = -6 + -5s + -6s Combine like terms: 6s + -6s = 0 -3r + 0 = -6 + -5s + -6s -3r = -6 + -5s + -6s Combine like terms: -5s + -6s = -11s -3r = -6 + -11s Divide each side by '-3'. r = 2 + 3.666666667s Simplifying r = 2 + 3.666666667s
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