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Simplifying 9r + -5r + 7 = 9r + 7 + -1r Reorder the terms: 7 + 9r + -5r = 9r + 7 + -1r Combine like terms: 9r + -5r = 4r 7 + 4r = 9r + 7 + -1r Reorder the terms: 7 + 4r = 7 + 9r + -1r Combine like terms: 9r + -1r = 8r 7 + 4r = 7 + 8r Add '-7' to each side of the equation. 7 + -7 + 4r = 7 + -7 + 8r Combine like terms: 7 + -7 = 0 0 + 4r = 7 + -7 + 8r 4r = 7 + -7 + 8r Combine like terms: 7 + -7 = 0 4r = 0 + 8r 4r = 8r Solving 4r = 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 4r + -8r = 8r + -8r Combine like terms: 4r + -8r = -4r -4r = 8r + -8r Combine like terms: 8r + -8r = 0 -4r = 0 Divide each side by '-4'. r = 0 Simplifying r = 0
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