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Simplifying 4(r + 1) = 3(r + 3) Reorder the terms: 4(1 + r) = 3(r + 3) (1 * 4 + r * 4) = 3(r + 3) (4 + 4r) = 3(r + 3) Reorder the terms: 4 + 4r = 3(3 + r) 4 + 4r = (3 * 3 + r * 3) 4 + 4r = (9 + 3r) Solving 4 + 4r = 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 + 4r + -3r = 9 + 3r + -3r Combine like terms: 4r + -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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