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Simplifying 7 + 15r + -4 = 5r + 27 + -2r Reorder the terms: 7 + -4 + 15r = 5r + 27 + -2r Combine like terms: 7 + -4 = 3 3 + 15r = 5r + 27 + -2r Reorder the terms: 3 + 15r = 27 + 5r + -2r Combine like terms: 5r + -2r = 3r 3 + 15r = 27 + 3r Solving 3 + 15r = 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. 3 + 15r + -3r = 27 + 3r + -3r Combine like terms: 15r + -3r = 12r 3 + 12r = 27 + 3r + -3r Combine like terms: 3r + -3r = 0 3 + 12r = 27 + 0 3 + 12r = 27 Add '-3' to each side of the equation. 3 + -3 + 12r = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 12r = 27 + -3 12r = 27 + -3 Combine like terms: 27 + -3 = 24 12r = 24 Divide each side by '12'. r = 2 Simplifying r = 2
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