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Simplifying 4(1 + 6r) = 40 + 6r (1 * 4 + 6r * 4) = 40 + 6r (4 + 24r) = 40 + 6r Solving 4 + 24r = 40 + 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 + 24r + -6r = 40 + 6r + -6r Combine like terms: 24r + -6r = 18r 4 + 18r = 40 + 6r + -6r Combine like terms: 6r + -6r = 0 4 + 18r = 40 + 0 4 + 18r = 40 Add '-4' to each side of the equation. 4 + -4 + 18r = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 18r = 40 + -4 18r = 40 + -4 Combine like terms: 40 + -4 = 36 18r = 36 Divide each side by '18'. r = 2 Simplifying r = 2
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