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Simplifying -4v + -16 = 3v + 12 + 7 Reorder the terms: -16 + -4v = 3v + 12 + 7 Reorder the terms: -16 + -4v = 12 + 7 + 3v Combine like terms: 12 + 7 = 19 -16 + -4v = 19 + 3v Solving -16 + -4v = 19 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -16 + -4v + -3v = 19 + 3v + -3v Combine like terms: -4v + -3v = -7v -16 + -7v = 19 + 3v + -3v Combine like terms: 3v + -3v = 0 -16 + -7v = 19 + 0 -16 + -7v = 19 Add '16' to each side of the equation. -16 + 16 + -7v = 19 + 16 Combine like terms: -16 + 16 = 0 0 + -7v = 19 + 16 -7v = 19 + 16 Combine like terms: 19 + 16 = 35 -7v = 35 Divide each side by '-7'. v = -5 Simplifying v = -5
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