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Simplifying 2v + -40 = 8(v + -2) Reorder the terms: -40 + 2v = 8(v + -2) Reorder the terms: -40 + 2v = 8(-2 + v) -40 + 2v = (-2 * 8 + v * 8) -40 + 2v = (-16 + 8v) Solving -40 + 2v = -16 + 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. -40 + 2v + -8v = -16 + 8v + -8v Combine like terms: 2v + -8v = -6v -40 + -6v = -16 + 8v + -8v Combine like terms: 8v + -8v = 0 -40 + -6v = -16 + 0 -40 + -6v = -16 Add '40' to each side of the equation. -40 + 40 + -6v = -16 + 40 Combine like terms: -40 + 40 = 0 0 + -6v = -16 + 40 -6v = -16 + 40 Combine like terms: -16 + 40 = 24 -6v = 24 Divide each side by '-6'. v = -4 Simplifying v = -4
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