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Simplifying 4 + 8(r + 1) = 8 + 7r Reorder the terms: 4 + 8(1 + r) = 8 + 7r 4 + (1 * 8 + r * 8) = 8 + 7r 4 + (8 + 8r) = 8 + 7r Combine like terms: 4 + 8 = 12 12 + 8r = 8 + 7r Solving 12 + 8r = 8 + 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. 12 + 8r + -7r = 8 + 7r + -7r Combine like terms: 8r + -7r = 1r 12 + 1r = 8 + 7r + -7r Combine like terms: 7r + -7r = 0 12 + 1r = 8 + 0 12 + 1r = 8 Add '-12' to each side of the equation. 12 + -12 + 1r = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 1r = 8 + -12 1r = 8 + -12 Combine like terms: 8 + -12 = -4 1r = -4 Divide each side by '1'. r = -4 Simplifying r = -4
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