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Simplifying -9 + 21 = -4(v + 1) Combine like terms: -9 + 21 = 12 12 = -4(v + 1) Reorder the terms: 12 = -4(1 + v) 12 = (1 * -4 + v * -4) 12 = (-4 + -4v) Solving 12 = -4 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 12 + 4v = -4 + -4v + 4v Combine like terms: -4v + 4v = 0 12 + 4v = -4 + 0 12 + 4v = -4 Add '-12' to each side of the equation. 12 + -12 + 4v = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 4v = -4 + -12 4v = -4 + -12 Combine like terms: -4 + -12 = -16 4v = -16 Divide each side by '4'. v = -4 Simplifying v = -4
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