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Simplifying 7r + 32 = 5(r + 8) Reorder the terms: 32 + 7r = 5(r + 8) Reorder the terms: 32 + 7r = 5(8 + r) 32 + 7r = (8 * 5 + r * 5) 32 + 7r = (40 + 5r) Solving 32 + 7r = 40 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 32 + 7r + -5r = 40 + 5r + -5r Combine like terms: 7r + -5r = 2r 32 + 2r = 40 + 5r + -5r Combine like terms: 5r + -5r = 0 32 + 2r = 40 + 0 32 + 2r = 40 Add '-32' to each side of the equation. 32 + -32 + 2r = 40 + -32 Combine like terms: 32 + -32 = 0 0 + 2r = 40 + -32 2r = 40 + -32 Combine like terms: 40 + -32 = 8 2r = 8 Divide each side by '2'. r = 4 Simplifying r = 4
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