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Simplifying 8(v + 4) = -2v + -38 Reorder the terms: 8(4 + v) = -2v + -38 (4 * 8 + v * 8) = -2v + -38 (32 + 8v) = -2v + -38 Reorder the terms: 32 + 8v = -38 + -2v Solving 32 + 8v = -38 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 32 + 8v + 2v = -38 + -2v + 2v Combine like terms: 8v + 2v = 10v 32 + 10v = -38 + -2v + 2v Combine like terms: -2v + 2v = 0 32 + 10v = -38 + 0 32 + 10v = -38 Add '-32' to each side of the equation. 32 + -32 + 10v = -38 + -32 Combine like terms: 32 + -32 = 0 0 + 10v = -38 + -32 10v = -38 + -32 Combine like terms: -38 + -32 = -70 10v = -70 Divide each side by '10'. v = -7 Simplifying v = -7
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