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Simplifying -5(v + -3) + -5 = -4(v + 3) Reorder the terms: -5(-3 + v) + -5 = -4(v + 3) (-3 * -5 + v * -5) + -5 = -4(v + 3) (15 + -5v) + -5 = -4(v + 3) Reorder the terms: 15 + -5 + -5v = -4(v + 3) Combine like terms: 15 + -5 = 10 10 + -5v = -4(v + 3) Reorder the terms: 10 + -5v = -4(3 + v) 10 + -5v = (3 * -4 + v * -4) 10 + -5v = (-12 + -4v) Solving 10 + -5v = -12 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 10 + -5v + 4v = -12 + -4v + 4v Combine like terms: -5v + 4v = -1v 10 + -1v = -12 + -4v + 4v Combine like terms: -4v + 4v = 0 10 + -1v = -12 + 0 10 + -1v = -12 Add '-10' to each side of the equation. 10 + -10 + -1v = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -1v = -12 + -10 -1v = -12 + -10 Combine like terms: -12 + -10 = -22 -1v = -22 Divide each side by '-1'. v = 22 Simplifying v = 22
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