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Simplifying 8v + -36 = 4(v + 1) Reorder the terms: -36 + 8v = 4(v + 1) Reorder the terms: -36 + 8v = 4(1 + v) -36 + 8v = (1 * 4 + v * 4) -36 + 8v = (4 + 4v) Solving -36 + 8v = 4 + 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. -36 + 8v + -4v = 4 + 4v + -4v Combine like terms: 8v + -4v = 4v -36 + 4v = 4 + 4v + -4v Combine like terms: 4v + -4v = 0 -36 + 4v = 4 + 0 -36 + 4v = 4 Add '36' to each side of the equation. -36 + 36 + 4v = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 4v = 4 + 36 4v = 4 + 36 Combine like terms: 4 + 36 = 40 4v = 40 Divide each side by '4'. v = 10 Simplifying v = 10
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