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Simplifying r + -83 = 4r + -5 Reorder the terms: -83 + r = 4r + -5 Reorder the terms: -83 + r = -5 + 4r Solving -83 + r = -5 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -83 + r + -4r = -5 + 4r + -4r Combine like terms: r + -4r = -3r -83 + -3r = -5 + 4r + -4r Combine like terms: 4r + -4r = 0 -83 + -3r = -5 + 0 -83 + -3r = -5 Add '83' to each side of the equation. -83 + 83 + -3r = -5 + 83 Combine like terms: -83 + 83 = 0 0 + -3r = -5 + 83 -3r = -5 + 83 Combine like terms: -5 + 83 = 78 -3r = 78 Divide each side by '-3'. r = -26 Simplifying r = -26
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