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Simplifying -9(-6v + -6) + 7(v + 1) = 0 Reorder the terms: -9(-6 + -6v) + 7(v + 1) = 0 (-6 * -9 + -6v * -9) + 7(v + 1) = 0 (54 + 54v) + 7(v + 1) = 0 Reorder the terms: 54 + 54v + 7(1 + v) = 0 54 + 54v + (1 * 7 + v * 7) = 0 54 + 54v + (7 + 7v) = 0 Reorder the terms: 54 + 7 + 54v + 7v = 0 Combine like terms: 54 + 7 = 61 61 + 54v + 7v = 0 Combine like terms: 54v + 7v = 61v 61 + 61v = 0 Solving 61 + 61v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 61v = 0 + -61 Combine like terms: 61 + -61 = 0 0 + 61v = 0 + -61 61v = 0 + -61 Combine like terms: 0 + -61 = -61 61v = -61 Divide each side by '61'. v = -1 Simplifying v = -1
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