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Simplifying 32 = -7 + 6(v + -2) Reorder the terms: 32 = -7 + 6(-2 + v) 32 = -7 + (-2 * 6 + v * 6) 32 = -7 + (-12 + 6v) Combine like terms: -7 + -12 = -19 32 = -19 + 6v Solving 32 = -19 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 32 + -6v = -19 + 6v + -6v Combine like terms: 6v + -6v = 0 32 + -6v = -19 + 0 32 + -6v = -19 Add '-32' to each side of the equation. 32 + -32 + -6v = -19 + -32 Combine like terms: 32 + -32 = 0 0 + -6v = -19 + -32 -6v = -19 + -32 Combine like terms: -19 + -32 = -51 -6v = -51 Divide each side by '-6'. v = 8.5 Simplifying v = 8.5
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