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Simplifying 5 + 19r + -2 = 9r + 15 + -2r Reorder the terms: 5 + -2 + 19r = 9r + 15 + -2r Combine like terms: 5 + -2 = 3 3 + 19r = 9r + 15 + -2r Reorder the terms: 3 + 19r = 15 + 9r + -2r Combine like terms: 9r + -2r = 7r 3 + 19r = 15 + 7r Solving 3 + 19r = 15 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 3 + 19r + -7r = 15 + 7r + -7r Combine like terms: 19r + -7r = 12r 3 + 12r = 15 + 7r + -7r Combine like terms: 7r + -7r = 0 3 + 12r = 15 + 0 3 + 12r = 15 Add '-3' to each side of the equation. 3 + -3 + 12r = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 12r = 15 + -3 12r = 15 + -3 Combine like terms: 15 + -3 = 12 12r = 12 Divide each side by '12'. r = 1 Simplifying r = 1
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