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Simplifying -7(6x + -3v + -4) = 0 Reorder the terms: -7(-4 + -3v + 6x) = 0 (-4 * -7 + -3v * -7 + 6x * -7) = 0 (28 + 21v + -42x) = 0 Solving 28 + 21v + -42x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + 21v + -28 + -42x = 0 + -28 Reorder the terms: 28 + -28 + 21v + -42x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 21v + -42x = 0 + -28 21v + -42x = 0 + -28 Combine like terms: 0 + -28 = -28 21v + -42x = -28 Add '42x' to each side of the equation. 21v + -42x + 42x = -28 + 42x Combine like terms: -42x + 42x = 0 21v + 0 = -28 + 42x 21v = -28 + 42x Divide each side by '21'. v = -1.333333333 + 2x Simplifying v = -1.333333333 + 2x
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