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Simplifying -4(v + 7) = -1(1 + 7v) Reorder the terms: -4(7 + v) = -1(1 + 7v) (7 * -4 + v * -4) = -1(1 + 7v) (-28 + -4v) = -1(1 + 7v) -28 + -4v = (1 * -1 + 7v * -1) -28 + -4v = (-1 + -7v) Solving -28 + -4v = -1 + -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. -28 + -4v + 7v = -1 + -7v + 7v Combine like terms: -4v + 7v = 3v -28 + 3v = -1 + -7v + 7v Combine like terms: -7v + 7v = 0 -28 + 3v = -1 + 0 -28 + 3v = -1 Add '28' to each side of the equation. -28 + 28 + 3v = -1 + 28 Combine like terms: -28 + 28 = 0 0 + 3v = -1 + 28 3v = -1 + 28 Combine like terms: -1 + 28 = 27 3v = 27 Divide each side by '3'. v = 9 Simplifying v = 9
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