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Simplifying 5v + 5 + -2(-3v + -3) = 7(v + -1) Reorder the terms: 5v + 5 + -2(-3 + -3v) = 7(v + -1) 5v + 5 + (-3 * -2 + -3v * -2) = 7(v + -1) 5v + 5 + (6 + 6v) = 7(v + -1) Reorder the terms: 5 + 6 + 5v + 6v = 7(v + -1) Combine like terms: 5 + 6 = 11 11 + 5v + 6v = 7(v + -1) Combine like terms: 5v + 6v = 11v 11 + 11v = 7(v + -1) Reorder the terms: 11 + 11v = 7(-1 + v) 11 + 11v = (-1 * 7 + v * 7) 11 + 11v = (-7 + 7v) Solving 11 + 11v = -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. 11 + 11v + -7v = -7 + 7v + -7v Combine like terms: 11v + -7v = 4v 11 + 4v = -7 + 7v + -7v Combine like terms: 7v + -7v = 0 11 + 4v = -7 + 0 11 + 4v = -7 Add '-11' to each side of the equation. 11 + -11 + 4v = -7 + -11 Combine like terms: 11 + -11 = 0 0 + 4v = -7 + -11 4v = -7 + -11 Combine like terms: -7 + -11 = -18 4v = -18 Divide each side by '4'. v = -4.5 Simplifying v = -4.5
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