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Simplifying 4(-7 + -1v) + 6 = -10 + -7v (-7 * 4 + -1v * 4) + 6 = -10 + -7v (-28 + -4v) + 6 = -10 + -7v Reorder the terms: -28 + 6 + -4v = -10 + -7v Combine like terms: -28 + 6 = -22 -22 + -4v = -10 + -7v Solving -22 + -4v = -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. -22 + -4v + 7v = -10 + -7v + 7v Combine like terms: -4v + 7v = 3v -22 + 3v = -10 + -7v + 7v Combine like terms: -7v + 7v = 0 -22 + 3v = -10 + 0 -22 + 3v = -10 Add '22' to each side of the equation. -22 + 22 + 3v = -10 + 22 Combine like terms: -22 + 22 = 0 0 + 3v = -10 + 22 3v = -10 + 22 Combine like terms: -10 + 22 = 12 3v = 12 Divide each side by '3'. v = 4 Simplifying v = 4
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