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Simplifying 3 + 4(r + 4) = 27 + 8r Reorder the terms: 3 + 4(4 + r) = 27 + 8r 3 + (4 * 4 + r * 4) = 27 + 8r 3 + (16 + 4r) = 27 + 8r Combine like terms: 3 + 16 = 19 19 + 4r = 27 + 8r Solving 19 + 4r = 27 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 19 + 4r + -8r = 27 + 8r + -8r Combine like terms: 4r + -8r = -4r 19 + -4r = 27 + 8r + -8r Combine like terms: 8r + -8r = 0 19 + -4r = 27 + 0 19 + -4r = 27 Add '-19' to each side of the equation. 19 + -19 + -4r = 27 + -19 Combine like terms: 19 + -19 = 0 0 + -4r = 27 + -19 -4r = 27 + -19 Combine like terms: 27 + -19 = 8 -4r = 8 Divide each side by '-4'. r = -2 Simplifying r = -2
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