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Simplifying 32 + 4v = -6(1 + -7v) 32 + 4v = (1 * -6 + -7v * -6) 32 + 4v = (-6 + 42v) Solving 32 + 4v = -6 + 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. 32 + 4v + -42v = -6 + 42v + -42v Combine like terms: 4v + -42v = -38v 32 + -38v = -6 + 42v + -42v Combine like terms: 42v + -42v = 0 32 + -38v = -6 + 0 32 + -38v = -6 Add '-32' to each side of the equation. 32 + -32 + -38v = -6 + -32 Combine like terms: 32 + -32 = 0 0 + -38v = -6 + -32 -38v = -6 + -32 Combine like terms: -6 + -32 = -38 -38v = -38 Divide each side by '-38'. v = 1 Simplifying v = 1
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