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Simplifying 1(2v + 2) + -4 = 16 + -8(v + 1) Reorder the terms: 1(2 + 2v) + -4 = 16 + -8(v + 1) (2 * 1 + 2v * 1) + -4 = 16 + -8(v + 1) (2 + 2v) + -4 = 16 + -8(v + 1) Reorder the terms: 2 + -4 + 2v = 16 + -8(v + 1) Combine like terms: 2 + -4 = -2 -2 + 2v = 16 + -8(v + 1) Reorder the terms: -2 + 2v = 16 + -8(1 + v) -2 + 2v = 16 + (1 * -8 + v * -8) -2 + 2v = 16 + (-8 + -8v) Combine like terms: 16 + -8 = 8 -2 + 2v = 8 + -8v Solving -2 + 2v = 8 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -2 + 2v + 8v = 8 + -8v + 8v Combine like terms: 2v + 8v = 10v -2 + 10v = 8 + -8v + 8v Combine like terms: -8v + 8v = 0 -2 + 10v = 8 + 0 -2 + 10v = 8 Add '2' to each side of the equation. -2 + 2 + 10v = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 10v = 8 + 2 10v = 8 + 2 Combine like terms: 8 + 2 = 10 10v = 10 Divide each side by '10'. v = 1 Simplifying v = 1
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