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Simplifying -7v + -33 = -4(v + 9) Reorder the terms: -33 + -7v = -4(v + 9) Reorder the terms: -33 + -7v = -4(9 + v) -33 + -7v = (9 * -4 + v * -4) -33 + -7v = (-36 + -4v) Solving -33 + -7v = -36 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -33 + -7v + 4v = -36 + -4v + 4v Combine like terms: -7v + 4v = -3v -33 + -3v = -36 + -4v + 4v Combine like terms: -4v + 4v = 0 -33 + -3v = -36 + 0 -33 + -3v = -36 Add '33' to each side of the equation. -33 + 33 + -3v = -36 + 33 Combine like terms: -33 + 33 = 0 0 + -3v = -36 + 33 -3v = -36 + 33 Combine like terms: -36 + 33 = -3 -3v = -3 Divide each side by '-3'. v = 1 Simplifying v = 1
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