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Simplifying -7(v + 4) + -8(8 + 2v) = -69 Reorder the terms: -7(4 + v) + -8(8 + 2v) = -69 (4 * -7 + v * -7) + -8(8 + 2v) = -69 (-28 + -7v) + -8(8 + 2v) = -69 -28 + -7v + (8 * -8 + 2v * -8) = -69 -28 + -7v + (-64 + -16v) = -69 Reorder the terms: -28 + -64 + -7v + -16v = -69 Combine like terms: -28 + -64 = -92 -92 + -7v + -16v = -69 Combine like terms: -7v + -16v = -23v -92 + -23v = -69 Solving -92 + -23v = -69 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '92' to each side of the equation. -92 + 92 + -23v = -69 + 92 Combine like terms: -92 + 92 = 0 0 + -23v = -69 + 92 -23v = -69 + 92 Combine like terms: -69 + 92 = 23 -23v = 23 Divide each side by '-23'. v = -1 Simplifying v = -1
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