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Simplifying 8(v + 3) + -4v = -7(v + 6) Reorder the terms: 8(3 + v) + -4v = -7(v + 6) (3 * 8 + v * 8) + -4v = -7(v + 6) (24 + 8v) + -4v = -7(v + 6) Combine like terms: 8v + -4v = 4v 24 + 4v = -7(v + 6) Reorder the terms: 24 + 4v = -7(6 + v) 24 + 4v = (6 * -7 + v * -7) 24 + 4v = (-42 + -7v) Solving 24 + 4v = -42 + -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. 24 + 4v + 7v = -42 + -7v + 7v Combine like terms: 4v + 7v = 11v 24 + 11v = -42 + -7v + 7v Combine like terms: -7v + 7v = 0 24 + 11v = -42 + 0 24 + 11v = -42 Add '-24' to each side of the equation. 24 + -24 + 11v = -42 + -24 Combine like terms: 24 + -24 = 0 0 + 11v = -42 + -24 11v = -42 + -24 Combine like terms: -42 + -24 = -66 11v = -66 Divide each side by '11'. v = -6 Simplifying v = -6
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