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Simplifying -7(v + 1) = -3v + 1 Reorder the terms: -7(1 + v) = -3v + 1 (1 * -7 + v * -7) = -3v + 1 (-7 + -7v) = -3v + 1 Reorder the terms: -7 + -7v = 1 + -3v Solving -7 + -7v = 1 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -7 + -7v + 3v = 1 + -3v + 3v Combine like terms: -7v + 3v = -4v -7 + -4v = 1 + -3v + 3v Combine like terms: -3v + 3v = 0 -7 + -4v = 1 + 0 -7 + -4v = 1 Add '7' to each side of the equation. -7 + 7 + -4v = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -4v = 1 + 7 -4v = 1 + 7 Combine like terms: 1 + 7 = 8 -4v = 8 Divide each side by '-4'. v = -2 Simplifying v = -2
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