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Simplifying 4(1 + 5r) = 6(8 + 7r) (1 * 4 + 5r * 4) = 6(8 + 7r) (4 + 20r) = 6(8 + 7r) 4 + 20r = (8 * 6 + 7r * 6) 4 + 20r = (48 + 42r) Solving 4 + 20r = 48 + 42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-42r' to each side of the equation. 4 + 20r + -42r = 48 + 42r + -42r Combine like terms: 20r + -42r = -22r 4 + -22r = 48 + 42r + -42r Combine like terms: 42r + -42r = 0 4 + -22r = 48 + 0 4 + -22r = 48 Add '-4' to each side of the equation. 4 + -4 + -22r = 48 + -4 Combine like terms: 4 + -4 = 0 0 + -22r = 48 + -4 -22r = 48 + -4 Combine like terms: 48 + -4 = 44 -22r = 44 Divide each side by '-22'. r = -2 Simplifying r = -2
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