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Simplifying 6(r + 4) + -5(1 + 4r) = 0 Reorder the terms: 6(4 + r) + -5(1 + 4r) = 0 (4 * 6 + r * 6) + -5(1 + 4r) = 0 (24 + 6r) + -5(1 + 4r) = 0 24 + 6r + (1 * -5 + 4r * -5) = 0 24 + 6r + (-5 + -20r) = 0 Reorder the terms: 24 + -5 + 6r + -20r = 0 Combine like terms: 24 + -5 = 19 19 + 6r + -20r = 0 Combine like terms: 6r + -20r = -14r 19 + -14r = 0 Solving 19 + -14r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -14r = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -14r = 0 + -19 -14r = 0 + -19 Combine like terms: 0 + -19 = -19 -14r = -19 Divide each side by '-14'. r = 1.357142857 Simplifying r = 1.357142857
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