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Simplifying -2(5v + -3) + 3v = 3(v + 4) Reorder the terms: -2(-3 + 5v) + 3v = 3(v + 4) (-3 * -2 + 5v * -2) + 3v = 3(v + 4) (6 + -10v) + 3v = 3(v + 4) Combine like terms: -10v + 3v = -7v 6 + -7v = 3(v + 4) Reorder the terms: 6 + -7v = 3(4 + v) 6 + -7v = (4 * 3 + v * 3) 6 + -7v = (12 + 3v) Solving 6 + -7v = 12 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 6 + -7v + -3v = 12 + 3v + -3v Combine like terms: -7v + -3v = -10v 6 + -10v = 12 + 3v + -3v Combine like terms: 3v + -3v = 0 6 + -10v = 12 + 0 6 + -10v = 12 Add '-6' to each side of the equation. 6 + -6 + -10v = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -10v = 12 + -6 -10v = 12 + -6 Combine like terms: 12 + -6 = 6 -10v = 6 Divide each side by '-10'. v = -0.6 Simplifying v = -0.6
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