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Simplifying 4r + 7s = 2r + 12s Solving 4r + 7s = 2r + 12s Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 4r + -2r + 7s = 2r + -2r + 12s Combine like terms: 4r + -2r = 2r 2r + 7s = 2r + -2r + 12s Combine like terms: 2r + -2r = 0 2r + 7s = 0 + 12s 2r + 7s = 12s Add '-7s' to each side of the equation. 2r + 7s + -7s = 12s + -7s Combine like terms: 7s + -7s = 0 2r + 0 = 12s + -7s 2r = 12s + -7s Combine like terms: 12s + -7s = 5s 2r = 5s Divide each side by '2'. r = 2.5s Simplifying r = 2.5s
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