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Simplifying -106 = -8(v + 2) + -7v Reorder the terms: -106 = -8(2 + v) + -7v -106 = (2 * -8 + v * -8) + -7v -106 = (-16 + -8v) + -7v Combine like terms: -8v + -7v = -15v -106 = -16 + -15v Solving -106 = -16 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. -106 + 15v = -16 + -15v + 15v Combine like terms: -15v + 15v = 0 -106 + 15v = -16 + 0 -106 + 15v = -16 Add '106' to each side of the equation. -106 + 106 + 15v = -16 + 106 Combine like terms: -106 + 106 = 0 0 + 15v = -16 + 106 15v = -16 + 106 Combine like terms: -16 + 106 = 90 15v = 90 Divide each side by '15'. v = 6 Simplifying v = 6
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