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Simplifying -2(2r + 5) + -5r + 4 = -69 Reorder the terms: -2(5 + 2r) + -5r + 4 = -69 (5 * -2 + 2r * -2) + -5r + 4 = -69 (-10 + -4r) + -5r + 4 = -69 Reorder the terms: -10 + 4 + -4r + -5r = -69 Combine like terms: -10 + 4 = -6 -6 + -4r + -5r = -69 Combine like terms: -4r + -5r = -9r -6 + -9r = -69 Solving -6 + -9r = -69 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 + -9r = -69 + 6 Combine like terms: -6 + 6 = 0 0 + -9r = -69 + 6 -9r = -69 + 6 Combine like terms: -69 + 6 = -63 -9r = -63 Divide each side by '-9'. r = 7 Simplifying r = 7
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