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Simplifying 6(v + -3) + -3 = -3(-8v + 2) + -8v Reorder the terms: 6(-3 + v) + -3 = -3(-8v + 2) + -8v (-3 * 6 + v * 6) + -3 = -3(-8v + 2) + -8v (-18 + 6v) + -3 = -3(-8v + 2) + -8v Reorder the terms: -18 + -3 + 6v = -3(-8v + 2) + -8v Combine like terms: -18 + -3 = -21 -21 + 6v = -3(-8v + 2) + -8v Reorder the terms: -21 + 6v = -3(2 + -8v) + -8v -21 + 6v = (2 * -3 + -8v * -3) + -8v -21 + 6v = (-6 + 24v) + -8v Combine like terms: 24v + -8v = 16v -21 + 6v = -6 + 16v Solving -21 + 6v = -6 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -21 + 6v + -16v = -6 + 16v + -16v Combine like terms: 6v + -16v = -10v -21 + -10v = -6 + 16v + -16v Combine like terms: 16v + -16v = 0 -21 + -10v = -6 + 0 -21 + -10v = -6 Add '21' to each side of the equation. -21 + 21 + -10v = -6 + 21 Combine like terms: -21 + 21 = 0 0 + -10v = -6 + 21 -10v = -6 + 21 Combine like terms: -6 + 21 = 15 -10v = 15 Divide each side by '-10'. v = -1.5 Simplifying v = -1.5
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