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