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Simplifying 7 = -7v + 4(v + -5) Reorder the terms: 7 = -7v + 4(-5 + v) 7 = -7v + (-5 * 4 + v * 4) 7 = -7v + (-20 + 4v) Reorder the terms: 7 = -20 + -7v + 4v Combine like terms: -7v + 4v = -3v 7 = -20 + -3v Solving 7 = -20 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 7 + 3v = -20 + -3v + 3v Combine like terms: -3v + 3v = 0 7 + 3v = -20 + 0 7 + 3v = -20 Add '-7' to each side of the equation. 7 + -7 + 3v = -20 + -7 Combine like terms: 7 + -7 = 0 0 + 3v = -20 + -7 3v = -20 + -7 Combine like terms: -20 + -7 = -27 3v = -27 Divide each side by '3'. v = -9 Simplifying v = -9
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