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Simplifying 4(1 + 5r) = 46 + 6r (1 * 4 + 5r * 4) = 46 + 6r (4 + 20r) = 46 + 6r Solving 4 + 20r = 46 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 4 + 20r + -6r = 46 + 6r + -6r Combine like terms: 20r + -6r = 14r 4 + 14r = 46 + 6r + -6r Combine like terms: 6r + -6r = 0 4 + 14r = 46 + 0 4 + 14r = 46 Add '-4' to each side of the equation. 4 + -4 + 14r = 46 + -4 Combine like terms: 4 + -4 = 0 0 + 14r = 46 + -4 14r = 46 + -4 Combine like terms: 46 + -4 = 42 14r = 42 Divide each side by '14'. r = 3 Simplifying r = 3
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