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Simplifying 7(-4v + 6) + -5v = -32 + 4v Reorder the terms: 7(6 + -4v) + -5v = -32 + 4v (6 * 7 + -4v * 7) + -5v = -32 + 4v (42 + -28v) + -5v = -32 + 4v Combine like terms: -28v + -5v = -33v 42 + -33v = -32 + 4v Solving 42 + -33v = -32 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 42 + -33v + -4v = -32 + 4v + -4v Combine like terms: -33v + -4v = -37v 42 + -37v = -32 + 4v + -4v Combine like terms: 4v + -4v = 0 42 + -37v = -32 + 0 42 + -37v = -32 Add '-42' to each side of the equation. 42 + -42 + -37v = -32 + -42 Combine like terms: 42 + -42 = 0 0 + -37v = -32 + -42 -37v = -32 + -42 Combine like terms: -32 + -42 = -74 -37v = -74 Divide each side by '-37'. v = 2 Simplifying v = 2
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