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Simplifying 8r + -7 = 23 + -2r Reorder the terms: -7 + 8r = 23 + -2r Solving -7 + 8r = 23 + -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 + 8r + 2r = 23 + -2r + 2r Combine like terms: 8r + 2r = 10r -7 + 10r = 23 + -2r + 2r Combine like terms: -2r + 2r = 0 -7 + 10r = 23 + 0 -7 + 10r = 23 Add '7' to each side of the equation. -7 + 7 + 10r = 23 + 7 Combine like terms: -7 + 7 = 0 0 + 10r = 23 + 7 10r = 23 + 7 Combine like terms: 23 + 7 = 30 10r = 30 Divide each side by '10'. r = 3 Simplifying r = 3
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