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Simplifying -1(1 + -4v) + -6 = 7 + 3(5v + -1) (1 * -1 + -4v * -1) + -6 = 7 + 3(5v + -1) (-1 + 4v) + -6 = 7 + 3(5v + -1) Reorder the terms: -1 + -6 + 4v = 7 + 3(5v + -1) Combine like terms: -1 + -6 = -7 -7 + 4v = 7 + 3(5v + -1) Reorder the terms: -7 + 4v = 7 + 3(-1 + 5v) -7 + 4v = 7 + (-1 * 3 + 5v * 3) -7 + 4v = 7 + (-3 + 15v) Combine like terms: 7 + -3 = 4 -7 + 4v = 4 + 15v Solving -7 + 4v = 4 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -7 + 4v + -15v = 4 + 15v + -15v Combine like terms: 4v + -15v = -11v -7 + -11v = 4 + 15v + -15v Combine like terms: 15v + -15v = 0 -7 + -11v = 4 + 0 -7 + -11v = 4 Add '7' to each side of the equation. -7 + 7 + -11v = 4 + 7 Combine like terms: -7 + 7 = 0 0 + -11v = 4 + 7 -11v = 4 + 7 Combine like terms: 4 + 7 = 11 -11v = 11 Divide each side by '-11'. v = -1 Simplifying v = -1
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