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Simplifying -5(6v + 1) = -5v + -30 Reorder the terms: -5(1 + 6v) = -5v + -30 (1 * -5 + 6v * -5) = -5v + -30 (-5 + -30v) = -5v + -30 Reorder the terms: -5 + -30v = -30 + -5v Solving -5 + -30v = -30 + -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. -5 + -30v + 5v = -30 + -5v + 5v Combine like terms: -30v + 5v = -25v -5 + -25v = -30 + -5v + 5v Combine like terms: -5v + 5v = 0 -5 + -25v = -30 + 0 -5 + -25v = -30 Add '5' to each side of the equation. -5 + 5 + -25v = -30 + 5 Combine like terms: -5 + 5 = 0 0 + -25v = -30 + 5 -25v = -30 + 5 Combine like terms: -30 + 5 = -25 -25v = -25 Divide each side by '-25'. v = 1 Simplifying v = 1
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