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Simplifying 4(v + -4) = -7v + -38 Reorder the terms: 4(-4 + v) = -7v + -38 (-4 * 4 + v * 4) = -7v + -38 (-16 + 4v) = -7v + -38 Reorder the terms: -16 + 4v = -38 + -7v Solving -16 + 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. -16 + 4v + 7v = -38 + -7v + 7v Combine like terms: 4v + 7v = 11v -16 + 11v = -38 + -7v + 7v Combine like terms: -7v + 7v = 0 -16 + 11v = -38 + 0 -16 + 11v = -38 Add '16' to each side of the equation. -16 + 16 + 11v = -38 + 16 Combine like terms: -16 + 16 = 0 0 + 11v = -38 + 16 11v = -38 + 16 Combine like terms: -38 + 16 = -22 11v = -22 Divide each side by '11'. v = -2 Simplifying v = -2
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