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Simplifying 5 + 3(-2v + -7) = 40 + 8v Reorder the terms: 5 + 3(-7 + -2v) = 40 + 8v 5 + (-7 * 3 + -2v * 3) = 40 + 8v 5 + (-21 + -6v) = 40 + 8v Combine like terms: 5 + -21 = -16 -16 + -6v = 40 + 8v Solving -16 + -6v = 40 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -16 + -6v + -8v = 40 + 8v + -8v Combine like terms: -6v + -8v = -14v -16 + -14v = 40 + 8v + -8v Combine like terms: 8v + -8v = 0 -16 + -14v = 40 + 0 -16 + -14v = 40 Add '16' to each side of the equation. -16 + 16 + -14v = 40 + 16 Combine like terms: -16 + 16 = 0 0 + -14v = 40 + 16 -14v = 40 + 16 Combine like terms: 40 + 16 = 56 -14v = 56 Divide each side by '-14'. v = -4 Simplifying v = -4
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