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Simplifying -16 + 4v = 7v + 4 + 1 Reorder the terms: -16 + 4v = 4 + 1 + 7v Combine like terms: 4 + 1 = 5 -16 + 4v = 5 + 7v Solving -16 + 4v = 5 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -16 + 4v + -7v = 5 + 7v + -7v Combine like terms: 4v + -7v = -3v -16 + -3v = 5 + 7v + -7v Combine like terms: 7v + -7v = 0 -16 + -3v = 5 + 0 -16 + -3v = 5 Add '16' to each side of the equation. -16 + 16 + -3v = 5 + 16 Combine like terms: -16 + 16 = 0 0 + -3v = 5 + 16 -3v = 5 + 16 Combine like terms: 5 + 16 = 21 -3v = 21 Divide each side by '-3'. v = -7 Simplifying v = -7
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