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Simplifying -78 = -6(v + 5) Reorder the terms: -78 = -6(5 + v) -78 = (5 * -6 + v * -6) -78 = (-30 + -6v) Solving -78 = -30 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -78 + 6v = -30 + -6v + 6v Combine like terms: -6v + 6v = 0 -78 + 6v = -30 + 0 -78 + 6v = -30 Add '78' to each side of the equation. -78 + 78 + 6v = -30 + 78 Combine like terms: -78 + 78 = 0 0 + 6v = -30 + 78 6v = -30 + 78 Combine like terms: -30 + 78 = 48 6v = 48 Divide each side by '6'. v = 8 Simplifying v = 8
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