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Simplifying -90 = -6(v + 8) Reorder the terms: -90 = -6(8 + v) -90 = (8 * -6 + v * -6) -90 = (-48 + -6v) Solving -90 = -48 + -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. -90 + 6v = -48 + -6v + 6v Combine like terms: -6v + 6v = 0 -90 + 6v = -48 + 0 -90 + 6v = -48 Add '90' to each side of the equation. -90 + 90 + 6v = -48 + 90 Combine like terms: -90 + 90 = 0 0 + 6v = -48 + 90 6v = -48 + 90 Combine like terms: -48 + 90 = 42 6v = 42 Divide each side by '6'. v = 7 Simplifying v = 7
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