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Simplifying 14 + 8r = 7(r + 1) Reorder the terms: 14 + 8r = 7(1 + r) 14 + 8r = (1 * 7 + r * 7) 14 + 8r = (7 + 7r) Solving 14 + 8r = 7 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 14 + 8r + -7r = 7 + 7r + -7r Combine like terms: 8r + -7r = 1r 14 + 1r = 7 + 7r + -7r Combine like terms: 7r + -7r = 0 14 + 1r = 7 + 0 14 + 1r = 7 Add '-14' to each side of the equation. 14 + -14 + 1r = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 1r = 7 + -14 1r = 7 + -14 Combine like terms: 7 + -14 = -7 1r = -7 Divide each side by '1'. r = -7 Simplifying r = -7
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