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Simplifying 8(r + 8) = 3(r + 9) Reorder the terms: 8(8 + r) = 3(r + 9) (8 * 8 + r * 8) = 3(r + 9) (64 + 8r) = 3(r + 9) Reorder the terms: 64 + 8r = 3(9 + r) 64 + 8r = (9 * 3 + r * 3) 64 + 8r = (27 + 3r) Solving 64 + 8r = 27 + 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. 64 + 8r + -3r = 27 + 3r + -3r Combine like terms: 8r + -3r = 5r 64 + 5r = 27 + 3r + -3r Combine like terms: 3r + -3r = 0 64 + 5r = 27 + 0 64 + 5r = 27 Add '-64' to each side of the equation. 64 + -64 + 5r = 27 + -64 Combine like terms: 64 + -64 = 0 0 + 5r = 27 + -64 5r = 27 + -64 Combine like terms: 27 + -64 = -37 5r = -37 Divide each side by '5'. r = -7.4 Simplifying r = -7.4
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