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Simplifying 7(-3 + -8v) = 30 + -5v (-3 * 7 + -8v * 7) = 30 + -5v (-21 + -56v) = 30 + -5v Solving -21 + -56v = 30 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -21 + -56v + 5v = 30 + -5v + 5v Combine like terms: -56v + 5v = -51v -21 + -51v = 30 + -5v + 5v Combine like terms: -5v + 5v = 0 -21 + -51v = 30 + 0 -21 + -51v = 30 Add '21' to each side of the equation. -21 + 21 + -51v = 30 + 21 Combine like terms: -21 + 21 = 0 0 + -51v = 30 + 21 -51v = 30 + 21 Combine like terms: 30 + 21 = 51 -51v = 51 Divide each side by '-51'. v = -1 Simplifying v = -1
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