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Simplifying -2(6v + -9) + 6v = 4(v + 1) Reorder the terms: -2(-9 + 6v) + 6v = 4(v + 1) (-9 * -2 + 6v * -2) + 6v = 4(v + 1) (18 + -12v) + 6v = 4(v + 1) Combine like terms: -12v + 6v = -6v 18 + -6v = 4(v + 1) Reorder the terms: 18 + -6v = 4(1 + v) 18 + -6v = (1 * 4 + v * 4) 18 + -6v = (4 + 4v) Solving 18 + -6v = 4 + 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. 18 + -6v + -4v = 4 + 4v + -4v Combine like terms: -6v + -4v = -10v 18 + -10v = 4 + 4v + -4v Combine like terms: 4v + -4v = 0 18 + -10v = 4 + 0 18 + -10v = 4 Add '-18' to each side of the equation. 18 + -18 + -10v = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -10v = 4 + -18 -10v = 4 + -18 Combine like terms: 4 + -18 = -14 -10v = -14 Divide each side by '-10'. v = 1.4 Simplifying v = 1.4
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