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Simplifying -7(-3v + 2y + -6) = 0 Reorder the terms: -7(-6 + -3v + 2y) = 0 (-6 * -7 + -3v * -7 + 2y * -7) = 0 (42 + 21v + -14y) = 0 Solving 42 + 21v + -14y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 21v + -42 + -14y = 0 + -42 Reorder the terms: 42 + -42 + 21v + -14y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 21v + -14y = 0 + -42 21v + -14y = 0 + -42 Combine like terms: 0 + -42 = -42 21v + -14y = -42 Add '14y' to each side of the equation. 21v + -14y + 14y = -42 + 14y Combine like terms: -14y + 14y = 0 21v + 0 = -42 + 14y 21v = -42 + 14y Divide each side by '21'. v = -2 + 0.6666666667y Simplifying v = -2 + 0.6666666667y
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