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Simplifying 4r + 2(3 + 5r) = -90 4r + (3 * 2 + 5r * 2) = -90 4r + (6 + 10r) = -90 Reorder the terms: 6 + 4r + 10r = -90 Combine like terms: 4r + 10r = 14r 6 + 14r = -90 Solving 6 + 14r = -90 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 14r = -90 + -6 Combine like terms: 6 + -6 = 0 0 + 14r = -90 + -6 14r = -90 + -6 Combine like terms: -90 + -6 = -96 14r = -96 Divide each side by '14'. r = -6.857142857 Simplifying r = -6.857142857
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