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Simplifying -7(v + 8) = -30 + 6v Reorder the terms: -7(8 + v) = -30 + 6v (8 * -7 + v * -7) = -30 + 6v (-56 + -7v) = -30 + 6v Solving -56 + -7v = -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. -56 + -7v + -6v = -30 + 6v + -6v Combine like terms: -7v + -6v = -13v -56 + -13v = -30 + 6v + -6v Combine like terms: 6v + -6v = 0 -56 + -13v = -30 + 0 -56 + -13v = -30 Add '56' to each side of the equation. -56 + 56 + -13v = -30 + 56 Combine like terms: -56 + 56 = 0 0 + -13v = -30 + 56 -13v = -30 + 56 Combine like terms: -30 + 56 = 26 -13v = 26 Divide each side by '-13'. v = -2 Simplifying v = -2
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