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Simplifying 5(6v + -3) + 7 = -3v + 4 Reorder the terms: 5(-3 + 6v) + 7 = -3v + 4 (-3 * 5 + 6v * 5) + 7 = -3v + 4 (-15 + 30v) + 7 = -3v + 4 Reorder the terms: -15 + 7 + 30v = -3v + 4 Combine like terms: -15 + 7 = -8 -8 + 30v = -3v + 4 Reorder the terms: -8 + 30v = 4 + -3v Solving -8 + 30v = 4 + -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. -8 + 30v + 3v = 4 + -3v + 3v Combine like terms: 30v + 3v = 33v -8 + 33v = 4 + -3v + 3v Combine like terms: -3v + 3v = 0 -8 + 33v = 4 + 0 -8 + 33v = 4 Add '8' to each side of the equation. -8 + 8 + 33v = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 33v = 4 + 8 33v = 4 + 8 Combine like terms: 4 + 8 = 12 33v = 12 Divide each side by '33'. v = 0.3636363636 Simplifying v = 0.3636363636
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