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Simplifying 23 + 2r = -3(5r + -2) Reorder the terms: 23 + 2r = -3(-2 + 5r) 23 + 2r = (-2 * -3 + 5r * -3) 23 + 2r = (6 + -15r) Solving 23 + 2r = 6 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. 23 + 2r + 15r = 6 + -15r + 15r Combine like terms: 2r + 15r = 17r 23 + 17r = 6 + -15r + 15r Combine like terms: -15r + 15r = 0 23 + 17r = 6 + 0 23 + 17r = 6 Add '-23' to each side of the equation. 23 + -23 + 17r = 6 + -23 Combine like terms: 23 + -23 = 0 0 + 17r = 6 + -23 17r = 6 + -23 Combine like terms: 6 + -23 = -17 17r = -17 Divide each side by '17'. r = -1 Simplifying r = -1
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