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Simplifying -7(v + 7) = -4v + -28 Reorder the terms: -7(7 + v) = -4v + -28 (7 * -7 + v * -7) = -4v + -28 (-49 + -7v) = -4v + -28 Reorder the terms: -49 + -7v = -28 + -4v Solving -49 + -7v = -28 + -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. -49 + -7v + 4v = -28 + -4v + 4v Combine like terms: -7v + 4v = -3v -49 + -3v = -28 + -4v + 4v Combine like terms: -4v + 4v = 0 -49 + -3v = -28 + 0 -49 + -3v = -28 Add '49' to each side of the equation. -49 + 49 + -3v = -28 + 49 Combine like terms: -49 + 49 = 0 0 + -3v = -28 + 49 -3v = -28 + 49 Combine like terms: -28 + 49 = 21 -3v = 21 Divide each side by '-3'. v = -7 Simplifying v = -7
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