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Simplifying -5(7r + 8r) + 2(6r + 7) = 0 Combine like terms: 7r + 8r = 15r -5(15r) + 2(6r + 7) = 0 Remove parenthesis around (15r) -5 * 15r + 2(6r + 7) = 0 Multiply -5 * 15 -75r + 2(6r + 7) = 0 Reorder the terms: -75r + 2(7 + 6r) = 0 -75r + (7 * 2 + 6r * 2) = 0 -75r + (14 + 12r) = 0 Reorder the terms: 14 + -75r + 12r = 0 Combine like terms: -75r + 12r = -63r 14 + -63r = 0 Solving 14 + -63r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -63r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -63r = 0 + -14 -63r = 0 + -14 Combine like terms: 0 + -14 = -14 -63r = -14 Divide each side by '-63'. r = 0.2222222222 Simplifying r = 0.2222222222
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