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Simplifying 40 + -8v = -6(-3 + 5v) 40 + -8v = (-3 * -6 + 5v * -6) 40 + -8v = (18 + -30v) Solving 40 + -8v = 18 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. 40 + -8v + 30v = 18 + -30v + 30v Combine like terms: -8v + 30v = 22v 40 + 22v = 18 + -30v + 30v Combine like terms: -30v + 30v = 0 40 + 22v = 18 + 0 40 + 22v = 18 Add '-40' to each side of the equation. 40 + -40 + 22v = 18 + -40 Combine like terms: 40 + -40 = 0 0 + 22v = 18 + -40 22v = 18 + -40 Combine like terms: 18 + -40 = -22 22v = -22 Divide each side by '22'. v = -1 Simplifying v = -1
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