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Simplifying -1(6 + -3v) = 10 + 7v (6 * -1 + -3v * -1) = 10 + 7v (-6 + 3v) = 10 + 7v Solving -6 + 3v = 10 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -6 + 3v + -7v = 10 + 7v + -7v Combine like terms: 3v + -7v = -4v -6 + -4v = 10 + 7v + -7v Combine like terms: 7v + -7v = 0 -6 + -4v = 10 + 0 -6 + -4v = 10 Add '6' to each side of the equation. -6 + 6 + -4v = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -4v = 10 + 6 -4v = 10 + 6 Combine like terms: 10 + 6 = 16 -4v = 16 Divide each side by '-4'. v = -4 Simplifying v = -4
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