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Simplifying 4(1v + -1) + 7 = 5(2v + -3) Reorder the terms: 4(-1 + 1v) + 7 = 5(2v + -3) (-1 * 4 + 1v * 4) + 7 = 5(2v + -3) (-4 + 4v) + 7 = 5(2v + -3) Reorder the terms: -4 + 7 + 4v = 5(2v + -3) Combine like terms: -4 + 7 = 3 3 + 4v = 5(2v + -3) Reorder the terms: 3 + 4v = 5(-3 + 2v) 3 + 4v = (-3 * 5 + 2v * 5) 3 + 4v = (-15 + 10v) Solving 3 + 4v = -15 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 3 + 4v + -10v = -15 + 10v + -10v Combine like terms: 4v + -10v = -6v 3 + -6v = -15 + 10v + -10v Combine like terms: 10v + -10v = 0 3 + -6v = -15 + 0 3 + -6v = -15 Add '-3' to each side of the equation. 3 + -3 + -6v = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -6v = -15 + -3 -6v = -15 + -3 Combine like terms: -15 + -3 = -18 -6v = -18 Divide each side by '-6'. v = 3 Simplifying v = 3
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