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Simplifying -5(-3y + 2v + -6) = 0 Reorder the terms: -5(-6 + 2v + -3y) = 0 (-6 * -5 + 2v * -5 + -3y * -5) = 0 (30 + -10v + 15y) = 0 Solving 30 + -10v + 15y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -10v + -30 + 15y = 0 + -30 Reorder the terms: 30 + -30 + -10v + 15y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -10v + 15y = 0 + -30 -10v + 15y = 0 + -30 Combine like terms: 0 + -30 = -30 -10v + 15y = -30 Add '-15y' to each side of the equation. -10v + 15y + -15y = -30 + -15y Combine like terms: 15y + -15y = 0 -10v + 0 = -30 + -15y -10v = -30 + -15y Divide each side by '-10'. v = 3 + 1.5y Simplifying v = 3 + 1.5y
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