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Simplifying 5v + -41 = -7(v + -1) Reorder the terms: -41 + 5v = -7(v + -1) Reorder the terms: -41 + 5v = -7(-1 + v) -41 + 5v = (-1 * -7 + v * -7) -41 + 5v = (7 + -7v) Solving -41 + 5v = 7 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -41 + 5v + 7v = 7 + -7v + 7v Combine like terms: 5v + 7v = 12v -41 + 12v = 7 + -7v + 7v Combine like terms: -7v + 7v = 0 -41 + 12v = 7 + 0 -41 + 12v = 7 Add '41' to each side of the equation. -41 + 41 + 12v = 7 + 41 Combine like terms: -41 + 41 = 0 0 + 12v = 7 + 41 12v = 7 + 41 Combine like terms: 7 + 41 = 48 12v = 48 Divide each side by '12'. v = 4 Simplifying v = 4
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