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Simplifying 7v + -7 = -8(6 + -6v) Reorder the terms: -7 + 7v = -8(6 + -6v) -7 + 7v = (6 * -8 + -6v * -8) -7 + 7v = (-48 + 48v) Solving -7 + 7v = -48 + 48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48v' to each side of the equation. -7 + 7v + -48v = -48 + 48v + -48v Combine like terms: 7v + -48v = -41v -7 + -41v = -48 + 48v + -48v Combine like terms: 48v + -48v = 0 -7 + -41v = -48 + 0 -7 + -41v = -48 Add '7' to each side of the equation. -7 + 7 + -41v = -48 + 7 Combine like terms: -7 + 7 = 0 0 + -41v = -48 + 7 -41v = -48 + 7 Combine like terms: -48 + 7 = -41 -41v = -41 Divide each side by '-41'. v = 1 Simplifying v = 1
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