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Simplifying 9 + 3r + -3 = 7r + 9 + -3r Reorder the terms: 9 + -3 + 3r = 7r + 9 + -3r Combine like terms: 9 + -3 = 6 6 + 3r = 7r + 9 + -3r Reorder the terms: 6 + 3r = 9 + 7r + -3r Combine like terms: 7r + -3r = 4r 6 + 3r = 9 + 4r Solving 6 + 3r = 9 + 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. 6 + 3r + -4r = 9 + 4r + -4r Combine like terms: 3r + -4r = -1r 6 + -1r = 9 + 4r + -4r Combine like terms: 4r + -4r = 0 6 + -1r = 9 + 0 6 + -1r = 9 Add '-6' to each side of the equation. 6 + -6 + -1r = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -1r = 9 + -6 -1r = 9 + -6 Combine like terms: 9 + -6 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3
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