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Simplifying -32 = 8 + 3(r + 9) Reorder the terms: -32 = 8 + 3(9 + r) -32 = 8 + (9 * 3 + r * 3) -32 = 8 + (27 + 3r) Combine like terms: 8 + 27 = 35 -32 = 35 + 3r Solving -32 = 35 + 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. -32 + -3r = 35 + 3r + -3r Combine like terms: 3r + -3r = 0 -32 + -3r = 35 + 0 -32 + -3r = 35 Add '32' to each side of the equation. -32 + 32 + -3r = 35 + 32 Combine like terms: -32 + 32 = 0 0 + -3r = 35 + 32 -3r = 35 + 32 Combine like terms: 35 + 32 = 67 -3r = 67 Divide each side by '-3'. r = -22.33333333 Simplifying r = -22.33333333
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