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Simplifying 3(3 + r) = 2r + 4 (3 * 3 + r * 3) = 2r + 4 (9 + 3r) = 2r + 4 Reorder the terms: 9 + 3r = 4 + 2r Solving 9 + 3r = 4 + 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. 9 + 3r + -2r = 4 + 2r + -2r Combine like terms: 3r + -2r = 1r 9 + 1r = 4 + 2r + -2r Combine like terms: 2r + -2r = 0 9 + 1r = 4 + 0 9 + 1r = 4 Add '-9' to each side of the equation. 9 + -9 + 1r = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 1r = 4 + -9 1r = 4 + -9 Combine like terms: 4 + -9 = -5 1r = -5 Divide each side by '1'. r = -5 Simplifying r = -5
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