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Simplifying 4r + 4(r + 5) = 420 Reorder the terms: 4r + 4(5 + r) = 420 4r + (5 * 4 + r * 4) = 420 4r + (20 + 4r) = 420 Reorder the terms: 20 + 4r + 4r = 420 Combine like terms: 4r + 4r = 8r 20 + 8r = 420 Solving 20 + 8r = 420 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 8r = 420 + -20 Combine like terms: 20 + -20 = 0 0 + 8r = 420 + -20 8r = 420 + -20 Combine like terms: 420 + -20 = 400 8r = 400 Divide each side by '8'. r = 50 Simplifying r = 50
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