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Simplifying -7(v + -1) = -4v + 1 Reorder the terms: -7(-1 + v) = -4v + 1 (-1 * -7 + v * -7) = -4v + 1 (7 + -7v) = -4v + 1 Reorder the terms: 7 + -7v = 1 + -4v Solving 7 + -7v = 1 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 7 + -7v + 4v = 1 + -4v + 4v Combine like terms: -7v + 4v = -3v 7 + -3v = 1 + -4v + 4v Combine like terms: -4v + 4v = 0 7 + -3v = 1 + 0 7 + -3v = 1 Add '-7' to each side of the equation. 7 + -7 + -3v = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3v = 1 + -7 -3v = 1 + -7 Combine like terms: 1 + -7 = -6 -3v = -6 Divide each side by '-3'. v = 2 Simplifying v = 2
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