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Simplifying 2r + 9 = 4r + 5 Reorder the terms: 9 + 2r = 4r + 5 Reorder the terms: 9 + 2r = 5 + 4r Solving 9 + 2r = 5 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 9 + 2r + -4r = 5 + 4r + -4r Combine like terms: 2r + -4r = -2r 9 + -2r = 5 + 4r + -4r Combine like terms: 4r + -4r = 0 9 + -2r = 5 + 0 9 + -2r = 5 Add '-9' to each side of the equation. 9 + -9 + -2r = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -2r = 5 + -9 -2r = 5 + -9 Combine like terms: 5 + -9 = -4 -2r = -4 Divide each side by '-2'. r = 2 Simplifying r = 2
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