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Simplifying 4r + 3 = 27 + -2r Reorder the terms: 3 + 4r = 27 + -2r Solving 3 + 4r = 27 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 3 + 4r + 2r = 27 + -2r + 2r Combine like terms: 4r + 2r = 6r 3 + 6r = 27 + -2r + 2r Combine like terms: -2r + 2r = 0 3 + 6r = 27 + 0 3 + 6r = 27 Add '-3' to each side of the equation. 3 + -3 + 6r = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 6r = 27 + -3 6r = 27 + -3 Combine like terms: 27 + -3 = 24 6r = 24 Divide each side by '6'. r = 4 Simplifying r = 4
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