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Simplifying 4(1 + -7v) = -6v + -40 (1 * 4 + -7v * 4) = -6v + -40 (4 + -28v) = -6v + -40 Reorder the terms: 4 + -28v = -40 + -6v Solving 4 + -28v = -40 + -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. 4 + -28v + 6v = -40 + -6v + 6v Combine like terms: -28v + 6v = -22v 4 + -22v = -40 + -6v + 6v Combine like terms: -6v + 6v = 0 4 + -22v = -40 + 0 4 + -22v = -40 Add '-4' to each side of the equation. 4 + -4 + -22v = -40 + -4 Combine like terms: 4 + -4 = 0 0 + -22v = -40 + -4 -22v = -40 + -4 Combine like terms: -40 + -4 = -44 -22v = -44 Divide each side by '-22'. v = 2 Simplifying v = 2
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