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Simplifying -16 = 7(v + -8) + 3v Reorder the terms: -16 = 7(-8 + v) + 3v -16 = (-8 * 7 + v * 7) + 3v -16 = (-56 + 7v) + 3v Combine like terms: 7v + 3v = 10v -16 = -56 + 10v Solving -16 = -56 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -16 + -10v = -56 + 10v + -10v Combine like terms: 10v + -10v = 0 -16 + -10v = -56 + 0 -16 + -10v = -56 Add '16' to each side of the equation. -16 + 16 + -10v = -56 + 16 Combine like terms: -16 + 16 = 0 0 + -10v = -56 + 16 -10v = -56 + 16 Combine like terms: -56 + 16 = -40 -10v = -40 Divide each side by '-10'. v = 4 Simplifying v = 4
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