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Simplifying 4(r + 2) = 33 + -1r Reorder the terms: 4(2 + r) = 33 + -1r (2 * 4 + r * 4) = 33 + -1r (8 + 4r) = 33 + -1r Solving 8 + 4r = 33 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 8 + 4r + r = 33 + -1r + r Combine like terms: 4r + r = 5r 8 + 5r = 33 + -1r + r Combine like terms: -1r + r = 0 8 + 5r = 33 + 0 8 + 5r = 33 Add '-8' to each side of the equation. 8 + -8 + 5r = 33 + -8 Combine like terms: 8 + -8 = 0 0 + 5r = 33 + -8 5r = 33 + -8 Combine like terms: 33 + -8 = 25 5r = 25 Divide each side by '5'. r = 5 Simplifying r = 5
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