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Simplifying 2(1[v + -8] * 1) + -2 = -4(1[-6v + 6] * 1) + -7v Reorder the terms: 2(1[-8 + v] * 1) + -2 = -4(1[-6v + 6] * 1) + -7v Reorder the terms for easier multiplication: 2(1 * 1[-8 + v]) + -2 = -4(1[-6v + 6] * 1) + -7v Multiply 1 * 1 2(1[-8 + v]) + -2 = -4(1[-6v + 6] * 1) + -7v 2([-8 * 1 + v * 1]) + -2 = -4(1[-6v + 6] * 1) + -7v 2([-8 + 1v]) + -2 = -4(1[-6v + 6] * 1) + -7v (-8 * 2 + 1v * 2) + -2 = -4(1[-6v + 6] * 1) + -7v (-16 + 2v) + -2 = -4(1[-6v + 6] * 1) + -7v Reorder the terms: -16 + -2 + 2v = -4(1[-6v + 6] * 1) + -7v Combine like terms: -16 + -2 = -18 -18 + 2v = -4(1[-6v + 6] * 1) + -7v Reorder the terms: -18 + 2v = -4(1[6 + -6v] * 1) + -7v Reorder the terms for easier multiplication: -18 + 2v = -4(1 * 1[6 + -6v]) + -7v Multiply 1 * 1 -18 + 2v = -4(1[6 + -6v]) + -7v -18 + 2v = -4([6 * 1 + -6v * 1]) + -7v -18 + 2v = -4([6 + -6v]) + -7v -18 + 2v = (6 * -4 + -6v * -4) + -7v -18 + 2v = (-24 + 24v) + -7v Combine like terms: 24v + -7v = 17v -18 + 2v = -24 + 17v Solving -18 + 2v = -24 + 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. -18 + 2v + -17v = -24 + 17v + -17v Combine like terms: 2v + -17v = -15v -18 + -15v = -24 + 17v + -17v Combine like terms: 17v + -17v = 0 -18 + -15v = -24 + 0 -18 + -15v = -24 Add '18' to each side of the equation. -18 + 18 + -15v = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -15v = -24 + 18 -15v = -24 + 18 Combine like terms: -24 + 18 = -6 -15v = -6 Divide each side by '-15'. v = 0.4 Simplifying v = 0.4
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