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Simplifying -8(2 + 2v) + 7(-8v + -6) = 14 (2 * -8 + 2v * -8) + 7(-8v + -6) = 14 (-16 + -16v) + 7(-8v + -6) = 14 Reorder the terms: -16 + -16v + 7(-6 + -8v) = 14 -16 + -16v + (-6 * 7 + -8v * 7) = 14 -16 + -16v + (-42 + -56v) = 14 Reorder the terms: -16 + -42 + -16v + -56v = 14 Combine like terms: -16 + -42 = -58 -58 + -16v + -56v = 14 Combine like terms: -16v + -56v = -72v -58 + -72v = 14 Solving -58 + -72v = 14 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + -72v = 14 + 58 Combine like terms: -58 + 58 = 0 0 + -72v = 14 + 58 -72v = 14 + 58 Combine like terms: 14 + 58 = 72 -72v = 72 Divide each side by '-72'. v = -1 Simplifying v = -1
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