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Simplifying 7 + 2r + -5 = 9r + 4 + -6r Reorder the terms: 7 + -5 + 2r = 9r + 4 + -6r Combine like terms: 7 + -5 = 2 2 + 2r = 9r + 4 + -6r Reorder the terms: 2 + 2r = 4 + 9r + -6r Combine like terms: 9r + -6r = 3r 2 + 2r = 4 + 3r Solving 2 + 2r = 4 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 2 + 2r + -3r = 4 + 3r + -3r Combine like terms: 2r + -3r = -1r 2 + -1r = 4 + 3r + -3r Combine like terms: 3r + -3r = 0 2 + -1r = 4 + 0 2 + -1r = 4 Add '-2' to each side of the equation. 2 + -2 + -1r = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 4 + -2 -1r = 4 + -2 Combine like terms: 4 + -2 = 2 -1r = 2 Divide each side by '-1'. r = -2 Simplifying r = -2
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