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Simplifying 6v + 32 = -6 + 8(v + 4) Reorder the terms: 32 + 6v = -6 + 8(v + 4) Reorder the terms: 32 + 6v = -6 + 8(4 + v) 32 + 6v = -6 + (4 * 8 + v * 8) 32 + 6v = -6 + (32 + 8v) Combine like terms: -6 + 32 = 26 32 + 6v = 26 + 8v Solving 32 + 6v = 26 + 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. 32 + 6v + -8v = 26 + 8v + -8v Combine like terms: 6v + -8v = -2v 32 + -2v = 26 + 8v + -8v Combine like terms: 8v + -8v = 0 32 + -2v = 26 + 0 32 + -2v = 26 Add '-32' to each side of the equation. 32 + -32 + -2v = 26 + -32 Combine like terms: 32 + -32 = 0 0 + -2v = 26 + -32 -2v = 26 + -32 Combine like terms: 26 + -32 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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