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Simplifying -13 + -17r + -18 = -19r + -15 Reorder the terms: -13 + -18 + -17r = -19r + -15 Combine like terms: -13 + -18 = -31 -31 + -17r = -19r + -15 Reorder the terms: -31 + -17r = -15 + -19r Solving -31 + -17r = -15 + -19r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '19r' to each side of the equation. -31 + -17r + 19r = -15 + -19r + 19r Combine like terms: -17r + 19r = 2r -31 + 2r = -15 + -19r + 19r Combine like terms: -19r + 19r = 0 -31 + 2r = -15 + 0 -31 + 2r = -15 Add '31' to each side of the equation. -31 + 31 + 2r = -15 + 31 Combine like terms: -31 + 31 = 0 0 + 2r = -15 + 31 2r = -15 + 31 Combine like terms: -15 + 31 = 16 2r = 16 Divide each side by '2'. r = 8 Simplifying r = 8
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