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Simplifying 8(-2 + 4v) + 1 = 24 + -7v (-2 * 8 + 4v * 8) + 1 = 24 + -7v (-16 + 32v) + 1 = 24 + -7v Reorder the terms: -16 + 1 + 32v = 24 + -7v Combine like terms: -16 + 1 = -15 -15 + 32v = 24 + -7v Solving -15 + 32v = 24 + -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. -15 + 32v + 7v = 24 + -7v + 7v Combine like terms: 32v + 7v = 39v -15 + 39v = 24 + -7v + 7v Combine like terms: -7v + 7v = 0 -15 + 39v = 24 + 0 -15 + 39v = 24 Add '15' to each side of the equation. -15 + 15 + 39v = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 39v = 24 + 15 39v = 24 + 15 Combine like terms: 24 + 15 = 39 39v = 39 Divide each side by '39'. v = 1 Simplifying v = 1
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