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Simplifying 7v + 45 = -6(v + -1) Reorder the terms: 45 + 7v = -6(v + -1) Reorder the terms: 45 + 7v = -6(-1 + v) 45 + 7v = (-1 * -6 + v * -6) 45 + 7v = (6 + -6v) Solving 45 + 7v = 6 + -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. 45 + 7v + 6v = 6 + -6v + 6v Combine like terms: 7v + 6v = 13v 45 + 13v = 6 + -6v + 6v Combine like terms: -6v + 6v = 0 45 + 13v = 6 + 0 45 + 13v = 6 Add '-45' to each side of the equation. 45 + -45 + 13v = 6 + -45 Combine like terms: 45 + -45 = 0 0 + 13v = 6 + -45 13v = 6 + -45 Combine like terms: 6 + -45 = -39 13v = -39 Divide each side by '13'. v = -3 Simplifying v = -3
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