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