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Simplifying 5r + 10 = 2r + 43 Reorder the terms: 10 + 5r = 2r + 43 Reorder the terms: 10 + 5r = 43 + 2r Solving 10 + 5r = 43 + 2r 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. 10 + 5r + -2r = 43 + 2r + -2r Combine like terms: 5r + -2r = 3r 10 + 3r = 43 + 2r + -2r Combine like terms: 2r + -2r = 0 10 + 3r = 43 + 0 10 + 3r = 43 Add '-10' to each side of the equation. 10 + -10 + 3r = 43 + -10 Combine like terms: 10 + -10 = 0 0 + 3r = 43 + -10 3r = 43 + -10 Combine like terms: 43 + -10 = 33 3r = 33 Divide each side by '3'. r = 11 Simplifying r = 11
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