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Simplifying 8 + 17r + -1 = 8r + 37 + -6r Reorder the terms: 8 + -1 + 17r = 8r + 37 + -6r Combine like terms: 8 + -1 = 7 7 + 17r = 8r + 37 + -6r Reorder the terms: 7 + 17r = 37 + 8r + -6r Combine like terms: 8r + -6r = 2r 7 + 17r = 37 + 2r Solving 7 + 17r = 37 + 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. 7 + 17r + -2r = 37 + 2r + -2r Combine like terms: 17r + -2r = 15r 7 + 15r = 37 + 2r + -2r Combine like terms: 2r + -2r = 0 7 + 15r = 37 + 0 7 + 15r = 37 Add '-7' to each side of the equation. 7 + -7 + 15r = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 15r = 37 + -7 15r = 37 + -7 Combine like terms: 37 + -7 = 30 15r = 30 Divide each side by '15'. r = 2 Simplifying r = 2
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