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Simplifying -5(v + 3) = 33 + 7v Reorder the terms: -5(3 + v) = 33 + 7v (3 * -5 + v * -5) = 33 + 7v (-15 + -5v) = 33 + 7v Solving -15 + -5v = 33 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -15 + -5v + -7v = 33 + 7v + -7v Combine like terms: -5v + -7v = -12v -15 + -12v = 33 + 7v + -7v Combine like terms: 7v + -7v = 0 -15 + -12v = 33 + 0 -15 + -12v = 33 Add '15' to each side of the equation. -15 + 15 + -12v = 33 + 15 Combine like terms: -15 + 15 = 0 0 + -12v = 33 + 15 -12v = 33 + 15 Combine like terms: 33 + 15 = 48 -12v = 48 Divide each side by '-12'. v = -4 Simplifying v = -4
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