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Simplifying 2v + -18 = 16 + -4(v + 7) Reorder the terms: -18 + 2v = 16 + -4(v + 7) Reorder the terms: -18 + 2v = 16 + -4(7 + v) -18 + 2v = 16 + (7 * -4 + v * -4) -18 + 2v = 16 + (-28 + -4v) Combine like terms: 16 + -28 = -12 -18 + 2v = -12 + -4v Solving -18 + 2v = -12 + -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. -18 + 2v + 4v = -12 + -4v + 4v Combine like terms: 2v + 4v = 6v -18 + 6v = -12 + -4v + 4v Combine like terms: -4v + 4v = 0 -18 + 6v = -12 + 0 -18 + 6v = -12 Add '18' to each side of the equation. -18 + 18 + 6v = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 6v = -12 + 18 6v = -12 + 18 Combine like terms: -12 + 18 = 6 6v = 6 Divide each side by '6'. v = 1 Simplifying v = 1
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