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Simplifying 9r + -5r + 4 = 8r + 4 + -1r Reorder the terms: 4 + 9r + -5r = 8r + 4 + -1r Combine like terms: 9r + -5r = 4r 4 + 4r = 8r + 4 + -1r Reorder the terms: 4 + 4r = 4 + 8r + -1r Combine like terms: 8r + -1r = 7r 4 + 4r = 4 + 7r Add '-4' to each side of the equation. 4 + -4 + 4r = 4 + -4 + 7r Combine like terms: 4 + -4 = 0 0 + 4r = 4 + -4 + 7r 4r = 4 + -4 + 7r Combine like terms: 4 + -4 = 0 4r = 0 + 7r 4r = 7r Solving 4r = 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. 4r + -7r = 7r + -7r Combine like terms: 4r + -7r = -3r -3r = 7r + -7r Combine like terms: 7r + -7r = 0 -3r = 0 Divide each side by '-3'. r = 0 Simplifying r = 0
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