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Simplifying -4(-4 + 7v) + -2 = -7(1 + 3v) (-4 * -4 + 7v * -4) + -2 = -7(1 + 3v) (16 + -28v) + -2 = -7(1 + 3v) Reorder the terms: 16 + -2 + -28v = -7(1 + 3v) Combine like terms: 16 + -2 = 14 14 + -28v = -7(1 + 3v) 14 + -28v = (1 * -7 + 3v * -7) 14 + -28v = (-7 + -21v) Solving 14 + -28v = -7 + -21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21v' to each side of the equation. 14 + -28v + 21v = -7 + -21v + 21v Combine like terms: -28v + 21v = -7v 14 + -7v = -7 + -21v + 21v Combine like terms: -21v + 21v = 0 14 + -7v = -7 + 0 14 + -7v = -7 Add '-14' to each side of the equation. 14 + -14 + -7v = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -7v = -7 + -14 -7v = -7 + -14 Combine like terms: -7 + -14 = -21 -7v = -21 Divide each side by '-7'. v = 3 Simplifying v = 3
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