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Simplifying 5v + -40 = -6(v + -8) Reorder the terms: -40 + 5v = -6(v + -8) Reorder the terms: -40 + 5v = -6(-8 + v) -40 + 5v = (-8 * -6 + v * -6) -40 + 5v = (48 + -6v) Solving -40 + 5v = 48 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -40 + 5v + 6v = 48 + -6v + 6v Combine like terms: 5v + 6v = 11v -40 + 11v = 48 + -6v + 6v Combine like terms: -6v + 6v = 0 -40 + 11v = 48 + 0 -40 + 11v = 48 Add '40' to each side of the equation. -40 + 40 + 11v = 48 + 40 Combine like terms: -40 + 40 = 0 0 + 11v = 48 + 40 11v = 48 + 40 Combine like terms: 48 + 40 = 88 11v = 88 Divide each side by '11'. v = 8 Simplifying v = 8
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