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Simplifying -5v + -33 = 8(v + -9) Reorder the terms: -33 + -5v = 8(v + -9) Reorder the terms: -33 + -5v = 8(-9 + v) -33 + -5v = (-9 * 8 + v * 8) -33 + -5v = (-72 + 8v) Solving -33 + -5v = -72 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -33 + -5v + -8v = -72 + 8v + -8v Combine like terms: -5v + -8v = -13v -33 + -13v = -72 + 8v + -8v Combine like terms: 8v + -8v = 0 -33 + -13v = -72 + 0 -33 + -13v = -72 Add '33' to each side of the equation. -33 + 33 + -13v = -72 + 33 Combine like terms: -33 + 33 = 0 0 + -13v = -72 + 33 -13v = -72 + 33 Combine like terms: -72 + 33 = -39 -13v = -39 Divide each side by '-13'. v = 3 Simplifying v = 3
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