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Simplifying -10 + -7(1 + 9v) = -4v + -9(7v + -7) -10 + (1 * -7 + 9v * -7) = -4v + -9(7v + -7) -10 + (-7 + -63v) = -4v + -9(7v + -7) Combine like terms: -10 + -7 = -17 -17 + -63v = -4v + -9(7v + -7) Reorder the terms: -17 + -63v = -4v + -9(-7 + 7v) -17 + -63v = -4v + (-7 * -9 + 7v * -9) -17 + -63v = -4v + (63 + -63v) Reorder the terms: -17 + -63v = 63 + -4v + -63v Combine like terms: -4v + -63v = -67v -17 + -63v = 63 + -67v Solving -17 + -63v = 63 + -67v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '67v' to each side of the equation. -17 + -63v + 67v = 63 + -67v + 67v Combine like terms: -63v + 67v = 4v -17 + 4v = 63 + -67v + 67v Combine like terms: -67v + 67v = 0 -17 + 4v = 63 + 0 -17 + 4v = 63 Add '17' to each side of the equation. -17 + 17 + 4v = 63 + 17 Combine like terms: -17 + 17 = 0 0 + 4v = 63 + 17 4v = 63 + 17 Combine like terms: 63 + 17 = 80 4v = 80 Divide each side by '4'. v = 20 Simplifying v = 20
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