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Simplifying 6v + 32 = -4(v + 7) Reorder the terms: 32 + 6v = -4(v + 7) Reorder the terms: 32 + 6v = -4(7 + v) 32 + 6v = (7 * -4 + v * -4) 32 + 6v = (-28 + -4v) Solving 32 + 6v = -28 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 32 + 6v + 4v = -28 + -4v + 4v Combine like terms: 6v + 4v = 10v 32 + 10v = -28 + -4v + 4v Combine like terms: -4v + 4v = 0 32 + 10v = -28 + 0 32 + 10v = -28 Add '-32' to each side of the equation. 32 + -32 + 10v = -28 + -32 Combine like terms: 32 + -32 = 0 0 + 10v = -28 + -32 10v = -28 + -32 Combine like terms: -28 + -32 = -60 10v = -60 Divide each side by '10'. v = -6 Simplifying v = -6
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