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Simplifying 8(v + 7) = -8v + -21 Reorder the terms: 8(7 + v) = -8v + -21 (7 * 8 + v * 8) = -8v + -21 (56 + 8v) = -8v + -21 Reorder the terms: 56 + 8v = -21 + -8v Solving 56 + 8v = -21 + -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. 56 + 8v + 8v = -21 + -8v + 8v Combine like terms: 8v + 8v = 16v 56 + 16v = -21 + -8v + 8v Combine like terms: -8v + 8v = 0 56 + 16v = -21 + 0 56 + 16v = -21 Add '-56' to each side of the equation. 56 + -56 + 16v = -21 + -56 Combine like terms: 56 + -56 = 0 0 + 16v = -21 + -56 16v = -21 + -56 Combine like terms: -21 + -56 = -77 16v = -77 Divide each side by '16'. v = -4.8125 Simplifying v = -4.8125
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