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Simplifying 32 + 2v = 5(1 + 6v) + -1 32 + 2v = (1 * 5 + 6v * 5) + -1 32 + 2v = (5 + 30v) + -1 Reorder the terms: 32 + 2v = 5 + -1 + 30v Combine like terms: 5 + -1 = 4 32 + 2v = 4 + 30v Solving 32 + 2v = 4 + 30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30v' to each side of the equation. 32 + 2v + -30v = 4 + 30v + -30v Combine like terms: 2v + -30v = -28v 32 + -28v = 4 + 30v + -30v Combine like terms: 30v + -30v = 0 32 + -28v = 4 + 0 32 + -28v = 4 Add '-32' to each side of the equation. 32 + -32 + -28v = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -28v = 4 + -32 -28v = 4 + -32 Combine like terms: 4 + -32 = -28 -28v = -28 Divide each side by '-28'. v = 1 Simplifying v = 1
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