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Simplifying 23 + 4r = 5(r + 3) Reorder the terms: 23 + 4r = 5(3 + r) 23 + 4r = (3 * 5 + r * 5) 23 + 4r = (15 + 5r) Solving 23 + 4r = 15 + 5r 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. 23 + 4r + -5r = 15 + 5r + -5r Combine like terms: 4r + -5r = -1r 23 + -1r = 15 + 5r + -5r Combine like terms: 5r + -5r = 0 23 + -1r = 15 + 0 23 + -1r = 15 Add '-23' to each side of the equation. 23 + -23 + -1r = 15 + -23 Combine like terms: 23 + -23 = 0 0 + -1r = 15 + -23 -1r = 15 + -23 Combine like terms: 15 + -23 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8
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