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Simplifying 2(r + 2) = 3(r + 3) Reorder the terms: 2(2 + r) = 3(r + 3) (2 * 2 + r * 2) = 3(r + 3) (4 + 2r) = 3(r + 3) Reorder the terms: 4 + 2r = 3(3 + r) 4 + 2r = (3 * 3 + r * 3) 4 + 2r = (9 + 3r) Solving 4 + 2r = 9 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 4 + 2r + -3r = 9 + 3r + -3r Combine like terms: 2r + -3r = -1r 4 + -1r = 9 + 3r + -3r Combine like terms: 3r + -3r = 0 4 + -1r = 9 + 0 4 + -1r = 9 Add '-4' to each side of the equation. 4 + -4 + -1r = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 9 + -4 -1r = 9 + -4 Combine like terms: 9 + -4 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5
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