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Simplifying -5v + 32 = 8(v + -9) Reorder the terms: 32 + -5v = 8(v + -9) Reorder the terms: 32 + -5v = 8(-9 + v) 32 + -5v = (-9 * 8 + v * 8) 32 + -5v = (-72 + 8v) Solving 32 + -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. 32 + -5v + -8v = -72 + 8v + -8v Combine like terms: -5v + -8v = -13v 32 + -13v = -72 + 8v + -8v Combine like terms: 8v + -8v = 0 32 + -13v = -72 + 0 32 + -13v = -72 Add '-32' to each side of the equation. 32 + -32 + -13v = -72 + -32 Combine like terms: 32 + -32 = 0 0 + -13v = -72 + -32 -13v = -72 + -32 Combine like terms: -72 + -32 = -104 -13v = -104 Divide each side by '-13'. v = 8 Simplifying v = 8
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