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Simplifying 8 + 3r + -1 = 9r + 22 + -3r Reorder the terms: 8 + -1 + 3r = 9r + 22 + -3r Combine like terms: 8 + -1 = 7 7 + 3r = 9r + 22 + -3r Reorder the terms: 7 + 3r = 22 + 9r + -3r Combine like terms: 9r + -3r = 6r 7 + 3r = 22 + 6r Solving 7 + 3r = 22 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 7 + 3r + -6r = 22 + 6r + -6r Combine like terms: 3r + -6r = -3r 7 + -3r = 22 + 6r + -6r Combine like terms: 6r + -6r = 0 7 + -3r = 22 + 0 7 + -3r = 22 Add '-7' to each side of the equation. 7 + -7 + -3r = 22 + -7 Combine like terms: 7 + -7 = 0 0 + -3r = 22 + -7 -3r = 22 + -7 Combine like terms: 22 + -7 = 15 -3r = 15 Divide each side by '-3'. r = -5 Simplifying r = -5
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