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Simplifying 14(r + 1) = 4(r + 4) + 8r Reorder the terms: 14(1 + r) = 4(r + 4) + 8r (1 * 14 + r * 14) = 4(r + 4) + 8r (14 + 14r) = 4(r + 4) + 8r Reorder the terms: 14 + 14r = 4(4 + r) + 8r 14 + 14r = (4 * 4 + r * 4) + 8r 14 + 14r = (16 + 4r) + 8r Combine like terms: 4r + 8r = 12r 14 + 14r = 16 + 12r Solving 14 + 14r = 16 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 14 + 14r + -12r = 16 + 12r + -12r Combine like terms: 14r + -12r = 2r 14 + 2r = 16 + 12r + -12r Combine like terms: 12r + -12r = 0 14 + 2r = 16 + 0 14 + 2r = 16 Add '-14' to each side of the equation. 14 + -14 + 2r = 16 + -14 Combine like terms: 14 + -14 = 0 0 + 2r = 16 + -14 2r = 16 + -14 Combine like terms: 16 + -14 = 2 2r = 2 Divide each side by '2'. r = 1 Simplifying r = 1
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