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Simplifying -19 = -3v + 7(v + -5) Reorder the terms: -19 = -3v + 7(-5 + v) -19 = -3v + (-5 * 7 + v * 7) -19 = -3v + (-35 + 7v) Reorder the terms: -19 = -35 + -3v + 7v Combine like terms: -3v + 7v = 4v -19 = -35 + 4v Solving -19 = -35 + 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. -19 + -4v = -35 + 4v + -4v Combine like terms: 4v + -4v = 0 -19 + -4v = -35 + 0 -19 + -4v = -35 Add '19' to each side of the equation. -19 + 19 + -4v = -35 + 19 Combine like terms: -19 + 19 = 0 0 + -4v = -35 + 19 -4v = -35 + 19 Combine like terms: -35 + 19 = -16 -4v = -16 Divide each side by '-4'. v = 4 Simplifying v = 4
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