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Simplifying 11 + 7r = 4(r + 8) Reorder the terms: 11 + 7r = 4(8 + r) 11 + 7r = (8 * 4 + r * 4) 11 + 7r = (32 + 4r) Solving 11 + 7r = 32 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 11 + 7r + -4r = 32 + 4r + -4r Combine like terms: 7r + -4r = 3r 11 + 3r = 32 + 4r + -4r Combine like terms: 4r + -4r = 0 11 + 3r = 32 + 0 11 + 3r = 32 Add '-11' to each side of the equation. 11 + -11 + 3r = 32 + -11 Combine like terms: 11 + -11 = 0 0 + 3r = 32 + -11 3r = 32 + -11 Combine like terms: 32 + -11 = 21 3r = 21 Divide each side by '3'. r = 7 Simplifying r = 7
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