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Simplifying 4(v + -5) = 7v + -38 Reorder the terms: 4(-5 + v) = 7v + -38 (-5 * 4 + v * 4) = 7v + -38 (-20 + 4v) = 7v + -38 Reorder the terms: -20 + 4v = -38 + 7v Solving -20 + 4v = -38 + 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. -20 + 4v + -7v = -38 + 7v + -7v Combine like terms: 4v + -7v = -3v -20 + -3v = -38 + 7v + -7v Combine like terms: 7v + -7v = 0 -20 + -3v = -38 + 0 -20 + -3v = -38 Add '20' to each side of the equation. -20 + 20 + -3v = -38 + 20 Combine like terms: -20 + 20 = 0 0 + -3v = -38 + 20 -3v = -38 + 20 Combine like terms: -38 + 20 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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