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Simplifying 2v + -28 = 4 + -8(1 + -1v) Reorder the terms: -28 + 2v = 4 + -8(1 + -1v) -28 + 2v = 4 + (1 * -8 + -1v * -8) -28 + 2v = 4 + (-8 + 8v) Combine like terms: 4 + -8 = -4 -28 + 2v = -4 + 8v Solving -28 + 2v = -4 + 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 + 2v + -8v = -4 + 8v + -8v Combine like terms: 2v + -8v = -6v -28 + -6v = -4 + 8v + -8v Combine like terms: 8v + -8v = 0 -28 + -6v = -4 + 0 -28 + -6v = -4 Add '28' to each side of the equation. -28 + 28 + -6v = -4 + 28 Combine like terms: -28 + 28 = 0 0 + -6v = -4 + 28 -6v = -4 + 28 Combine like terms: -4 + 28 = 24 -6v = 24 Divide each side by '-6'. v = -4 Simplifying v = -4
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