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Simplifying 27 = 3(r + 1) Reorder the terms: 27 = 3(1 + r) 27 = (1 * 3 + r * 3) 27 = (3 + 3r) Solving 27 = 3 + 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. 27 + -3r = 3 + 3r + -3r Combine like terms: 3r + -3r = 0 27 + -3r = 3 + 0 27 + -3r = 3 Add '-27' to each side of the equation. 27 + -27 + -3r = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -3r = 3 + -27 -3r = 3 + -27 Combine like terms: 3 + -27 = -24 -3r = -24 Divide each side by '-3'. r = 8 Simplifying r = 8
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