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Simplifying 7(v + -1) + -3 = -3(-5v + 4) + -4v Reorder the terms: 7(-1 + v) + -3 = -3(-5v + 4) + -4v (-1 * 7 + v * 7) + -3 = -3(-5v + 4) + -4v (-7 + 7v) + -3 = -3(-5v + 4) + -4v Reorder the terms: -7 + -3 + 7v = -3(-5v + 4) + -4v Combine like terms: -7 + -3 = -10 -10 + 7v = -3(-5v + 4) + -4v Reorder the terms: -10 + 7v = -3(4 + -5v) + -4v -10 + 7v = (4 * -3 + -5v * -3) + -4v -10 + 7v = (-12 + 15v) + -4v Combine like terms: 15v + -4v = 11v -10 + 7v = -12 + 11v Solving -10 + 7v = -12 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -10 + 7v + -11v = -12 + 11v + -11v Combine like terms: 7v + -11v = -4v -10 + -4v = -12 + 11v + -11v Combine like terms: 11v + -11v = 0 -10 + -4v = -12 + 0 -10 + -4v = -12 Add '10' to each side of the equation. -10 + 10 + -4v = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -4v = -12 + 10 -4v = -12 + 10 Combine like terms: -12 + 10 = -2 -4v = -2 Divide each side by '-4'. v = 0.5 Simplifying v = 0.5
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