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Simplifying 4r + -3 + 3r = -2r + 5 + -17 Reorder the terms: -3 + 4r + 3r = -2r + 5 + -17 Combine like terms: 4r + 3r = 7r -3 + 7r = -2r + 5 + -17 Reorder the terms: -3 + 7r = 5 + -17 + -2r Combine like terms: 5 + -17 = -12 -3 + 7r = -12 + -2r Solving -3 + 7r = -12 + -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 + 7r + 2r = -12 + -2r + 2r Combine like terms: 7r + 2r = 9r -3 + 9r = -12 + -2r + 2r Combine like terms: -2r + 2r = 0 -3 + 9r = -12 + 0 -3 + 9r = -12 Add '3' to each side of the equation. -3 + 3 + 9r = -12 + 3 Combine like terms: -3 + 3 = 0 0 + 9r = -12 + 3 9r = -12 + 3 Combine like terms: -12 + 3 = -9 9r = -9 Divide each side by '9'. r = -1 Simplifying r = -1
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