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Simplifying -3(3v + -6) + 5v = 6(v + 5) Reorder the terms: -3(-6 + 3v) + 5v = 6(v + 5) (-6 * -3 + 3v * -3) + 5v = 6(v + 5) (18 + -9v) + 5v = 6(v + 5) Combine like terms: -9v + 5v = -4v 18 + -4v = 6(v + 5) Reorder the terms: 18 + -4v = 6(5 + v) 18 + -4v = (5 * 6 + v * 6) 18 + -4v = (30 + 6v) Solving 18 + -4v = 30 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 18 + -4v + -6v = 30 + 6v + -6v Combine like terms: -4v + -6v = -10v 18 + -10v = 30 + 6v + -6v Combine like terms: 6v + -6v = 0 18 + -10v = 30 + 0 18 + -10v = 30 Add '-18' to each side of the equation. 18 + -18 + -10v = 30 + -18 Combine like terms: 18 + -18 = 0 0 + -10v = 30 + -18 -10v = 30 + -18 Combine like terms: 30 + -18 = 12 -10v = 12 Divide each side by '-10'. v = -1.2 Simplifying v = -1.2
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