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Simplifying 4(1 + -6v) + -6v = -5v + -21 (1 * 4 + -6v * 4) + -6v = -5v + -21 (4 + -24v) + -6v = -5v + -21 Combine like terms: -24v + -6v = -30v 4 + -30v = -5v + -21 Reorder the terms: 4 + -30v = -21 + -5v Solving 4 + -30v = -21 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 4 + -30v + 5v = -21 + -5v + 5v Combine like terms: -30v + 5v = -25v 4 + -25v = -21 + -5v + 5v Combine like terms: -5v + 5v = 0 4 + -25v = -21 + 0 4 + -25v = -21 Add '-4' to each side of the equation. 4 + -4 + -25v = -21 + -4 Combine like terms: 4 + -4 = 0 0 + -25v = -21 + -4 -25v = -21 + -4 Combine like terms: -21 + -4 = -25 -25v = -25 Divide each side by '-25'. v = 1 Simplifying v = 1
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