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Simplifying 6v + 6(1 + -6v) = -144 6v + (1 * 6 + -6v * 6) = -144 6v + (6 + -36v) = -144 Reorder the terms: 6 + 6v + -36v = -144 Combine like terms: 6v + -36v = -30v 6 + -30v = -144 Solving 6 + -30v = -144 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -30v = -144 + -6 Combine like terms: 6 + -6 = 0 0 + -30v = -144 + -6 -30v = -144 + -6 Combine like terms: -144 + -6 = -150 -30v = -150 Divide each side by '-30'. v = 5 Simplifying v = 5
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