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Simplifying -8v + -32 = 7(v + 4) Reorder the terms: -32 + -8v = 7(v + 4) Reorder the terms: -32 + -8v = 7(4 + v) -32 + -8v = (4 * 7 + v * 7) -32 + -8v = (28 + 7v) Solving -32 + -8v = 28 + 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. -32 + -8v + -7v = 28 + 7v + -7v Combine like terms: -8v + -7v = -15v -32 + -15v = 28 + 7v + -7v Combine like terms: 7v + -7v = 0 -32 + -15v = 28 + 0 -32 + -15v = 28 Add '32' to each side of the equation. -32 + 32 + -15v = 28 + 32 Combine like terms: -32 + 32 = 0 0 + -15v = 28 + 32 -15v = 28 + 32 Combine like terms: 28 + 32 = 60 -15v = 60 Divide each side by '-15'. v = -4 Simplifying v = -4
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