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Simplifying 8(v + -1) = -7v + -23 Reorder the terms: 8(-1 + v) = -7v + -23 (-1 * 8 + v * 8) = -7v + -23 (-8 + 8v) = -7v + -23 Reorder the terms: -8 + 8v = -23 + -7v Solving -8 + 8v = -23 + -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. -8 + 8v + 7v = -23 + -7v + 7v Combine like terms: 8v + 7v = 15v -8 + 15v = -23 + -7v + 7v Combine like terms: -7v + 7v = 0 -8 + 15v = -23 + 0 -8 + 15v = -23 Add '8' to each side of the equation. -8 + 8 + 15v = -23 + 8 Combine like terms: -8 + 8 = 0 0 + 15v = -23 + 8 15v = -23 + 8 Combine like terms: -23 + 8 = -15 15v = -15 Divide each side by '15'. v = -1 Simplifying v = -1
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