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Simplifying 5r + -13 = -17 + 7r Reorder the terms: -13 + 5r = -17 + 7r Solving -13 + 5r = -17 + 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. -13 + 5r + -7r = -17 + 7r + -7r Combine like terms: 5r + -7r = -2r -13 + -2r = -17 + 7r + -7r Combine like terms: 7r + -7r = 0 -13 + -2r = -17 + 0 -13 + -2r = -17 Add '13' to each side of the equation. -13 + 13 + -2r = -17 + 13 Combine like terms: -13 + 13 = 0 0 + -2r = -17 + 13 -2r = -17 + 13 Combine like terms: -17 + 13 = -4 -2r = -4 Divide each side by '-2'. r = 2 Simplifying r = 2
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