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Simplifying 8r + -3 + 2r = 4(2r + 5) Reorder the terms: -3 + 8r + 2r = 4(2r + 5) Combine like terms: 8r + 2r = 10r -3 + 10r = 4(2r + 5) Reorder the terms: -3 + 10r = 4(5 + 2r) -3 + 10r = (5 * 4 + 2r * 4) -3 + 10r = (20 + 8r) Solving -3 + 10r = 20 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -3 + 10r + -8r = 20 + 8r + -8r Combine like terms: 10r + -8r = 2r -3 + 2r = 20 + 8r + -8r Combine like terms: 8r + -8r = 0 -3 + 2r = 20 + 0 -3 + 2r = 20 Add '3' to each side of the equation. -3 + 3 + 2r = 20 + 3 Combine like terms: -3 + 3 = 0 0 + 2r = 20 + 3 2r = 20 + 3 Combine like terms: 20 + 3 = 23 2r = 23 Divide each side by '2'. r = 11.5 Simplifying r = 11.5
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