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Simplifying -30 + -8v = -7(v + 5) Reorder the terms: -30 + -8v = -7(5 + v) -30 + -8v = (5 * -7 + v * -7) -30 + -8v = (-35 + -7v) Solving -30 + -8v = -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. -30 + -8v + 7v = -35 + -7v + 7v Combine like terms: -8v + 7v = -1v -30 + -1v = -35 + -7v + 7v Combine like terms: -7v + 7v = 0 -30 + -1v = -35 + 0 -30 + -1v = -35 Add '30' to each side of the equation. -30 + 30 + -1v = -35 + 30 Combine like terms: -30 + 30 = 0 0 + -1v = -35 + 30 -1v = -35 + 30 Combine like terms: -35 + 30 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5
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