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Simplifying 4(v + 7) = -3(4v + -4) + 4v Reorder the terms: 4(7 + v) = -3(4v + -4) + 4v (7 * 4 + v * 4) = -3(4v + -4) + 4v (28 + 4v) = -3(4v + -4) + 4v Reorder the terms: 28 + 4v = -3(-4 + 4v) + 4v 28 + 4v = (-4 * -3 + 4v * -3) + 4v 28 + 4v = (12 + -12v) + 4v Combine like terms: -12v + 4v = -8v 28 + 4v = 12 + -8v Solving 28 + 4v = 12 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 28 + 4v + 8v = 12 + -8v + 8v Combine like terms: 4v + 8v = 12v 28 + 12v = 12 + -8v + 8v Combine like terms: -8v + 8v = 0 28 + 12v = 12 + 0 28 + 12v = 12 Add '-28' to each side of the equation. 28 + -28 + 12v = 12 + -28 Combine like terms: 28 + -28 = 0 0 + 12v = 12 + -28 12v = 12 + -28 Combine like terms: 12 + -28 = -16 12v = -16 Divide each side by '12'. v = -1.333333333 Simplifying v = -1.333333333
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