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Simplifying 16 + -4v = 6v + -4(v + -7) Reorder the terms: 16 + -4v = 6v + -4(-7 + v) 16 + -4v = 6v + (-7 * -4 + v * -4) 16 + -4v = 6v + (28 + -4v) Reorder the terms: 16 + -4v = 28 + 6v + -4v Combine like terms: 6v + -4v = 2v 16 + -4v = 28 + 2v Solving 16 + -4v = 28 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 16 + -4v + -2v = 28 + 2v + -2v Combine like terms: -4v + -2v = -6v 16 + -6v = 28 + 2v + -2v Combine like terms: 2v + -2v = 0 16 + -6v = 28 + 0 16 + -6v = 28 Add '-16' to each side of the equation. 16 + -16 + -6v = 28 + -16 Combine like terms: 16 + -16 = 0 0 + -6v = 28 + -16 -6v = 28 + -16 Combine like terms: 28 + -16 = 12 -6v = 12 Divide each side by '-6'. v = -2 Simplifying v = -2
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