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Simplifying -78 = 6(6v + -7) Reorder the terms: -78 = 6(-7 + 6v) -78 = (-7 * 6 + 6v * 6) -78 = (-42 + 36v) Solving -78 = -42 + 36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36v' to each side of the equation. -78 + -36v = -42 + 36v + -36v Combine like terms: 36v + -36v = 0 -78 + -36v = -42 + 0 -78 + -36v = -42 Add '78' to each side of the equation. -78 + 78 + -36v = -42 + 78 Combine like terms: -78 + 78 = 0 0 + -36v = -42 + 78 -36v = -42 + 78 Combine like terms: -42 + 78 = 36 -36v = 36 Divide each side by '-36'. v = -1 Simplifying v = -1
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