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Simplifying 42 = 18r + 4(r + 5) Reorder the terms: 42 = 18r + 4(5 + r) 42 = 18r + (5 * 4 + r * 4) 42 = 18r + (20 + 4r) Reorder the terms: 42 = 20 + 18r + 4r Combine like terms: 18r + 4r = 22r 42 = 20 + 22r Solving 42 = 20 + 22r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-22r' to each side of the equation. 42 + -22r = 20 + 22r + -22r Combine like terms: 22r + -22r = 0 42 + -22r = 20 + 0 42 + -22r = 20 Add '-42' to each side of the equation. 42 + -42 + -22r = 20 + -42 Combine like terms: 42 + -42 = 0 0 + -22r = 20 + -42 -22r = 20 + -42 Combine like terms: 20 + -42 = -22 -22r = -22 Divide each side by '-22'. r = 1 Simplifying r = 1
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