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Simplifying 3v + -3 = 7(v + -5) Reorder the terms: -3 + 3v = 7(v + -5) Reorder the terms: -3 + 3v = 7(-5 + v) -3 + 3v = (-5 * 7 + v * 7) -3 + 3v = (-35 + 7v) Solving -3 + 3v = -35 + 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. -3 + 3v + -7v = -35 + 7v + -7v Combine like terms: 3v + -7v = -4v -3 + -4v = -35 + 7v + -7v Combine like terms: 7v + -7v = 0 -3 + -4v = -35 + 0 -3 + -4v = -35 Add '3' to each side of the equation. -3 + 3 + -4v = -35 + 3 Combine like terms: -3 + 3 = 0 0 + -4v = -35 + 3 -4v = -35 + 3 Combine like terms: -35 + 3 = -32 -4v = -32 Divide each side by '-4'. v = 8 Simplifying v = 8
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