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Simplifying 7v + -7v = -4(v + -7) + 4(1 + -1v) Combine like terms: 7v + -7v = 0 0 = -4(v + -7) + 4(1 + -1v) Reorder the terms: 0 = -4(-7 + v) + 4(1 + -1v) 0 = (-7 * -4 + v * -4) + 4(1 + -1v) 0 = (28 + -4v) + 4(1 + -1v) 0 = 28 + -4v + (1 * 4 + -1v * 4) 0 = 28 + -4v + (4 + -4v) Reorder the terms: 0 = 28 + 4 + -4v + -4v Combine like terms: 28 + 4 = 32 0 = 32 + -4v + -4v Combine like terms: -4v + -4v = -8v 0 = 32 + -8v Solving 0 = 32 + -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. 0 + 8v = 32 + -8v + 8v Remove the zero: 8v = 32 + -8v + 8v Combine like terms: -8v + 8v = 0 8v = 32 + 0 8v = 32 Divide each side by '8'. v = 4 Simplifying v = 4
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