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Simplifying 420 = 15(r + 23) Reorder the terms: 420 = 15(23 + r) 420 = (23 * 15 + r * 15) 420 = (345 + 15r) Solving 420 = 345 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. 420 + -15r = 345 + 15r + -15r Combine like terms: 15r + -15r = 0 420 + -15r = 345 + 0 420 + -15r = 345 Add '-420' to each side of the equation. 420 + -420 + -15r = 345 + -420 Combine like terms: 420 + -420 = 0 0 + -15r = 345 + -420 -15r = 345 + -420 Combine like terms: 345 + -420 = -75 -15r = -75 Divide each side by '-15'. r = 5 Simplifying r = 5
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