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Simplifying 5v + 7(4 + -3v) = -8v + -20 5v + (4 * 7 + -3v * 7) = -8v + -20 5v + (28 + -21v) = -8v + -20 Reorder the terms: 28 + 5v + -21v = -8v + -20 Combine like terms: 5v + -21v = -16v 28 + -16v = -8v + -20 Reorder the terms: 28 + -16v = -20 + -8v Solving 28 + -16v = -20 + -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. 28 + -16v + 8v = -20 + -8v + 8v Combine like terms: -16v + 8v = -8v 28 + -8v = -20 + -8v + 8v Combine like terms: -8v + 8v = 0 28 + -8v = -20 + 0 28 + -8v = -20 Add '-28' to each side of the equation. 28 + -28 + -8v = -20 + -28 Combine like terms: 28 + -28 = 0 0 + -8v = -20 + -28 -8v = -20 + -28 Combine like terms: -20 + -28 = -48 -8v = -48 Divide each side by '-8'. v = 6 Simplifying v = 6
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