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Simplifying 6(r + 5) = r + 300 Reorder the terms: 6(5 + r) = r + 300 (5 * 6 + r * 6) = r + 300 (30 + 6r) = r + 300 Reorder the terms: 30 + 6r = 300 + r Solving 30 + 6r = 300 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 30 + 6r + -1r = 300 + r + -1r Combine like terms: 6r + -1r = 5r 30 + 5r = 300 + r + -1r Combine like terms: r + -1r = 0 30 + 5r = 300 + 0 30 + 5r = 300 Add '-30' to each side of the equation. 30 + -30 + 5r = 300 + -30 Combine like terms: 30 + -30 = 0 0 + 5r = 300 + -30 5r = 300 + -30 Combine like terms: 300 + -30 = 270 5r = 270 Divide each side by '5'. r = 54 Simplifying r = 54
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