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Simplifying 5v + 33 = -2(v + 8) Reorder the terms: 33 + 5v = -2(v + 8) Reorder the terms: 33 + 5v = -2(8 + v) 33 + 5v = (8 * -2 + v * -2) 33 + 5v = (-16 + -2v) Solving 33 + 5v = -16 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 33 + 5v + 2v = -16 + -2v + 2v Combine like terms: 5v + 2v = 7v 33 + 7v = -16 + -2v + 2v Combine like terms: -2v + 2v = 0 33 + 7v = -16 + 0 33 + 7v = -16 Add '-33' to each side of the equation. 33 + -33 + 7v = -16 + -33 Combine like terms: 33 + -33 = 0 0 + 7v = -16 + -33 7v = -16 + -33 Combine like terms: -16 + -33 = -49 7v = -49 Divide each side by '7'. v = -7 Simplifying v = -7
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