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Simplifying 6 + 17r + -4 = 8r + 122 + -6r Reorder the terms: 6 + -4 + 17r = 8r + 122 + -6r Combine like terms: 6 + -4 = 2 2 + 17r = 8r + 122 + -6r Reorder the terms: 2 + 17r = 122 + 8r + -6r Combine like terms: 8r + -6r = 2r 2 + 17r = 122 + 2r Solving 2 + 17r = 122 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 2 + 17r + -2r = 122 + 2r + -2r Combine like terms: 17r + -2r = 15r 2 + 15r = 122 + 2r + -2r Combine like terms: 2r + -2r = 0 2 + 15r = 122 + 0 2 + 15r = 122 Add '-2' to each side of the equation. 2 + -2 + 15r = 122 + -2 Combine like terms: 2 + -2 = 0 0 + 15r = 122 + -2 15r = 122 + -2 Combine like terms: 122 + -2 = 120 15r = 120 Divide each side by '15'. r = 8 Simplifying r = 8
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