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Simplifying 156 = 8v + -4(1 + -6v) 156 = 8v + (1 * -4 + -6v * -4) 156 = 8v + (-4 + 24v) Reorder the terms: 156 = -4 + 8v + 24v Combine like terms: 8v + 24v = 32v 156 = -4 + 32v Solving 156 = -4 + 32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32v' to each side of the equation. 156 + -32v = -4 + 32v + -32v Combine like terms: 32v + -32v = 0 156 + -32v = -4 + 0 156 + -32v = -4 Add '-156' to each side of the equation. 156 + -156 + -32v = -4 + -156 Combine like terms: 156 + -156 = 0 0 + -32v = -4 + -156 -32v = -4 + -156 Combine like terms: -4 + -156 = -160 -32v = -160 Divide each side by '-32'. v = 5 Simplifying v = 5
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