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Simplifying -36 = -7v + 2(v + -8) Reorder the terms: -36 = -7v + 2(-8 + v) -36 = -7v + (-8 * 2 + v * 2) -36 = -7v + (-16 + 2v) Reorder the terms: -36 = -16 + -7v + 2v Combine like terms: -7v + 2v = -5v -36 = -16 + -5v Solving -36 = -16 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -36 + 5v = -16 + -5v + 5v Combine like terms: -5v + 5v = 0 -36 + 5v = -16 + 0 -36 + 5v = -16 Add '36' to each side of the equation. -36 + 36 + 5v = -16 + 36 Combine like terms: -36 + 36 = 0 0 + 5v = -16 + 36 5v = -16 + 36 Combine like terms: -16 + 36 = 20 5v = 20 Divide each side by '5'. v = 4 Simplifying v = 4
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