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Simplifying -36 + -7v = -5(7v + 3) + 7v Reorder the terms: -36 + -7v = -5(3 + 7v) + 7v -36 + -7v = (3 * -5 + 7v * -5) + 7v -36 + -7v = (-15 + -35v) + 7v Combine like terms: -35v + 7v = -28v -36 + -7v = -15 + -28v Solving -36 + -7v = -15 + -28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28v' to each side of the equation. -36 + -7v + 28v = -15 + -28v + 28v Combine like terms: -7v + 28v = 21v -36 + 21v = -15 + -28v + 28v Combine like terms: -28v + 28v = 0 -36 + 21v = -15 + 0 -36 + 21v = -15 Add '36' to each side of the equation. -36 + 36 + 21v = -15 + 36 Combine like terms: -36 + 36 = 0 0 + 21v = -15 + 36 21v = -15 + 36 Combine like terms: -15 + 36 = 21 21v = 21 Divide each side by '21'. v = 1 Simplifying v = 1
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