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Simplifying r + 9 = 3r + 5 + -6 Reorder the terms: 9 + r = 3r + 5 + -6 Reorder the terms: 9 + r = 5 + -6 + 3r Combine like terms: 5 + -6 = -1 9 + r = -1 + 3r Solving 9 + r = -1 + 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. 9 + r + -3r = -1 + 3r + -3r Combine like terms: r + -3r = -2r 9 + -2r = -1 + 3r + -3r Combine like terms: 3r + -3r = 0 9 + -2r = -1 + 0 9 + -2r = -1 Add '-9' to each side of the equation. 9 + -9 + -2r = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -2r = -1 + -9 -2r = -1 + -9 Combine like terms: -1 + -9 = -10 -2r = -10 Divide each side by '-2'. r = 5 Simplifying r = 5
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