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Simplifying -5(v + 4) + 3v + 7 = 7v + 8 Reorder the terms: -5(4 + v) + 3v + 7 = 7v + 8 (4 * -5 + v * -5) + 3v + 7 = 7v + 8 (-20 + -5v) + 3v + 7 = 7v + 8 Reorder the terms: -20 + 7 + -5v + 3v = 7v + 8 Combine like terms: -20 + 7 = -13 -13 + -5v + 3v = 7v + 8 Combine like terms: -5v + 3v = -2v -13 + -2v = 7v + 8 Reorder the terms: -13 + -2v = 8 + 7v Solving -13 + -2v = 8 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -13 + -2v + -7v = 8 + 7v + -7v Combine like terms: -2v + -7v = -9v -13 + -9v = 8 + 7v + -7v Combine like terms: 7v + -7v = 0 -13 + -9v = 8 + 0 -13 + -9v = 8 Add '13' to each side of the equation. -13 + 13 + -9v = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -9v = 8 + 13 -9v = 8 + 13 Combine like terms: 8 + 13 = 21 -9v = 21 Divide each side by '-9'. v = -2.333333333 Simplifying v = -2.333333333
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