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Simplifying 4(v + 8) + -7v = -4(v + -6) Reorder the terms: 4(8 + v) + -7v = -4(v + -6) (8 * 4 + v * 4) + -7v = -4(v + -6) (32 + 4v) + -7v = -4(v + -6) Combine like terms: 4v + -7v = -3v 32 + -3v = -4(v + -6) Reorder the terms: 32 + -3v = -4(-6 + v) 32 + -3v = (-6 * -4 + v * -4) 32 + -3v = (24 + -4v) Solving 32 + -3v = 24 + -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 + -3v + 4v = 24 + -4v + 4v Combine like terms: -3v + 4v = 1v 32 + 1v = 24 + -4v + 4v Combine like terms: -4v + 4v = 0 32 + 1v = 24 + 0 32 + 1v = 24 Add '-32' to each side of the equation. 32 + -32 + 1v = 24 + -32 Combine like terms: 32 + -32 = 0 0 + 1v = 24 + -32 1v = 24 + -32 Combine like terms: 24 + -32 = -8 1v = -8 Divide each side by '1'. v = -8 Simplifying v = -8
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