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Simplifying -7(-4v + -3x + 1) = 0 Reorder the terms: -7(1 + -4v + -3x) = 0 (1 * -7 + -4v * -7 + -3x * -7) = 0 (-7 + 28v + 21x) = 0 Solving -7 + 28v + 21x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 28v + 7 + 21x = 0 + 7 Reorder the terms: -7 + 7 + 28v + 21x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 28v + 21x = 0 + 7 28v + 21x = 0 + 7 Combine like terms: 0 + 7 = 7 28v + 21x = 7 Add '-21x' to each side of the equation. 28v + 21x + -21x = 7 + -21x Combine like terms: 21x + -21x = 0 28v + 0 = 7 + -21x 28v = 7 + -21x Divide each side by '28'. v = 0.25 + -0.75x Simplifying v = 0.25 + -0.75x
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