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Simplifying 4(v + 7) = -7v + -38 Reorder the terms: 4(7 + v) = -7v + -38 (7 * 4 + v * 4) = -7v + -38 (28 + 4v) = -7v + -38 Reorder the terms: 28 + 4v = -38 + -7v Solving 28 + 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. 28 + 4v + 7v = -38 + -7v + 7v Combine like terms: 4v + 7v = 11v 28 + 11v = -38 + -7v + 7v Combine like terms: -7v + 7v = 0 28 + 11v = -38 + 0 28 + 11v = -38 Add '-28' to each side of the equation. 28 + -28 + 11v = -38 + -28 Combine like terms: 28 + -28 = 0 0 + 11v = -38 + -28 11v = -38 + -28 Combine like terms: -38 + -28 = -66 11v = -66 Divide each side by '11'. v = -6 Simplifying v = -6
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