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Simplifying 3r + 4(5r + 3) = 150 Reorder the terms: 3r + 4(3 + 5r) = 150 3r + (3 * 4 + 5r * 4) = 150 3r + (12 + 20r) = 150 Reorder the terms: 12 + 3r + 20r = 150 Combine like terms: 3r + 20r = 23r 12 + 23r = 150 Solving 12 + 23r = 150 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 23r = 150 + -12 Combine like terms: 12 + -12 = 0 0 + 23r = 150 + -12 23r = 150 + -12 Combine like terms: 150 + -12 = 138 23r = 138 Divide each side by '23'. r = 6 Simplifying r = 6
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