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Simplifying 5(2r + -3) = 9r + 8 Reorder the terms: 5(-3 + 2r) = 9r + 8 (-3 * 5 + 2r * 5) = 9r + 8 (-15 + 10r) = 9r + 8 Reorder the terms: -15 + 10r = 8 + 9r Solving -15 + 10r = 8 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -15 + 10r + -9r = 8 + 9r + -9r Combine like terms: 10r + -9r = 1r -15 + 1r = 8 + 9r + -9r Combine like terms: 9r + -9r = 0 -15 + 1r = 8 + 0 -15 + 1r = 8 Add '15' to each side of the equation. -15 + 15 + 1r = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 1r = 8 + 15 1r = 8 + 15 Combine like terms: 8 + 15 = 23 1r = 23 Divide each side by '1'. r = 23 Simplifying r = 23
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