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Simplifying -8(v + 2) = 7v + 14 Reorder the terms: -8(2 + v) = 7v + 14 (2 * -8 + v * -8) = 7v + 14 (-16 + -8v) = 7v + 14 Reorder the terms: -16 + -8v = 14 + 7v Solving -16 + -8v = 14 + 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. -16 + -8v + -7v = 14 + 7v + -7v Combine like terms: -8v + -7v = -15v -16 + -15v = 14 + 7v + -7v Combine like terms: 7v + -7v = 0 -16 + -15v = 14 + 0 -16 + -15v = 14 Add '16' to each side of the equation. -16 + 16 + -15v = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -15v = 14 + 16 -15v = 14 + 16 Combine like terms: 14 + 16 = 30 -15v = 30 Divide each side by '-15'. v = -2 Simplifying v = -2
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