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Simplifying -9r + 44 = 5(1 + 6r) Reorder the terms: 44 + -9r = 5(1 + 6r) 44 + -9r = (1 * 5 + 6r * 5) 44 + -9r = (5 + 30r) Solving 44 + -9r = 5 + 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. 44 + -9r + -30r = 5 + 30r + -30r Combine like terms: -9r + -30r = -39r 44 + -39r = 5 + 30r + -30r Combine like terms: 30r + -30r = 0 44 + -39r = 5 + 0 44 + -39r = 5 Add '-44' to each side of the equation. 44 + -44 + -39r = 5 + -44 Combine like terms: 44 + -44 = 0 0 + -39r = 5 + -44 -39r = 5 + -44 Combine like terms: 5 + -44 = -39 -39r = -39 Divide each side by '-39'. r = 1 Simplifying r = 1
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