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Simplifying 7v + 47 = -8(v + -4) Reorder the terms: 47 + 7v = -8(v + -4) Reorder the terms: 47 + 7v = -8(-4 + v) 47 + 7v = (-4 * -8 + v * -8) 47 + 7v = (32 + -8v) Solving 47 + 7v = 32 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 47 + 7v + 8v = 32 + -8v + 8v Combine like terms: 7v + 8v = 15v 47 + 15v = 32 + -8v + 8v Combine like terms: -8v + 8v = 0 47 + 15v = 32 + 0 47 + 15v = 32 Add '-47' to each side of the equation. 47 + -47 + 15v = 32 + -47 Combine like terms: 47 + -47 = 0 0 + 15v = 32 + -47 15v = 32 + -47 Combine like terms: 32 + -47 = -15 15v = -15 Divide each side by '15'. v = -1 Simplifying v = -1
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