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Simplifying 3r = 5(r + -6) + -4(s + -2) Reorder the terms: 3r = 5(-6 + r) + -4(s + -2) 3r = (-6 * 5 + r * 5) + -4(s + -2) 3r = (-30 + 5r) + -4(s + -2) Reorder the terms: 3r = -30 + 5r + -4(-2 + s) 3r = -30 + 5r + (-2 * -4 + s * -4) 3r = -30 + 5r + (8 + -4s) Reorder the terms: 3r = -30 + 8 + 5r + -4s Combine like terms: -30 + 8 = -22 3r = -22 + 5r + -4s Solving 3r = -22 + 5r + -4s Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 3r + -5r = -22 + 5r + -5r + -4s Combine like terms: 3r + -5r = -2r -2r = -22 + 5r + -5r + -4s Combine like terms: 5r + -5r = 0 -2r = -22 + 0 + -4s -2r = -22 + -4s Divide each side by '-2'. r = 11 + 2s Simplifying r = 11 + 2s
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