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Simplifying 2r + 7 = -3r + 27 Reorder the terms: 7 + 2r = -3r + 27 Reorder the terms: 7 + 2r = 27 + -3r Solving 7 + 2r = 27 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 7 + 2r + 3r = 27 + -3r + 3r Combine like terms: 2r + 3r = 5r 7 + 5r = 27 + -3r + 3r Combine like terms: -3r + 3r = 0 7 + 5r = 27 + 0 7 + 5r = 27 Add '-7' to each side of the equation. 7 + -7 + 5r = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 5r = 27 + -7 5r = 27 + -7 Combine like terms: 27 + -7 = 20 5r = 20 Divide each side by '5'. r = 4 Simplifying r = 4
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