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Simplifying 8r + -5 = 6 + 2(r + 9) Reorder the terms: -5 + 8r = 6 + 2(r + 9) Reorder the terms: -5 + 8r = 6 + 2(9 + r) -5 + 8r = 6 + (9 * 2 + r * 2) -5 + 8r = 6 + (18 + 2r) Combine like terms: 6 + 18 = 24 -5 + 8r = 24 + 2r Solving -5 + 8r = 24 + 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. -5 + 8r + -2r = 24 + 2r + -2r Combine like terms: 8r + -2r = 6r -5 + 6r = 24 + 2r + -2r Combine like terms: 2r + -2r = 0 -5 + 6r = 24 + 0 -5 + 6r = 24 Add '5' to each side of the equation. -5 + 5 + 6r = 24 + 5 Combine like terms: -5 + 5 = 0 0 + 6r = 24 + 5 6r = 24 + 5 Combine like terms: 24 + 5 = 29 6r = 29 Divide each side by '6'. r = 4.833333333 Simplifying r = 4.833333333
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