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Simplifying 4(r + 3) = 2(r + 9) Reorder the terms: 4(3 + r) = 2(r + 9) (3 * 4 + r * 4) = 2(r + 9) (12 + 4r) = 2(r + 9) Reorder the terms: 12 + 4r = 2(9 + r) 12 + 4r = (9 * 2 + r * 2) 12 + 4r = (18 + 2r) Solving 12 + 4r = 18 + 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. 12 + 4r + -2r = 18 + 2r + -2r Combine like terms: 4r + -2r = 2r 12 + 2r = 18 + 2r + -2r Combine like terms: 2r + -2r = 0 12 + 2r = 18 + 0 12 + 2r = 18 Add '-12' to each side of the equation. 12 + -12 + 2r = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 2r = 18 + -12 2r = 18 + -12 Combine like terms: 18 + -12 = 6 2r = 6 Divide each side by '2'. r = 3 Simplifying r = 3
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