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Simplifying -7(v + -1) = -33 + 3v Reorder the terms: -7(-1 + v) = -33 + 3v (-1 * -7 + v * -7) = -33 + 3v (7 + -7v) = -33 + 3v Solving 7 + -7v = -33 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 7 + -7v + -3v = -33 + 3v + -3v Combine like terms: -7v + -3v = -10v 7 + -10v = -33 + 3v + -3v Combine like terms: 3v + -3v = 0 7 + -10v = -33 + 0 7 + -10v = -33 Add '-7' to each side of the equation. 7 + -7 + -10v = -33 + -7 Combine like terms: 7 + -7 = 0 0 + -10v = -33 + -7 -10v = -33 + -7 Combine like terms: -33 + -7 = -40 -10v = -40 Divide each side by '-10'. v = 4 Simplifying v = 4
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