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Simplifying -6[-6v + -7] + -6 = 36 + -1v Reorder the terms: -6[-7 + -6v] + -6 = 36 + -1v [-7 * -6 + -6v * -6] + -6 = 36 + -1v [42 + 36v] + -6 = 36 + -1v Reorder the terms: 42 + -6 + 36v = 36 + -1v Combine like terms: 42 + -6 = 36 36 + 36v = 36 + -1v Add '-36' to each side of the equation. 36 + -36 + 36v = 36 + -36 + -1v Combine like terms: 36 + -36 = 0 0 + 36v = 36 + -36 + -1v 36v = 36 + -36 + -1v Combine like terms: 36 + -36 = 0 36v = 0 + -1v 36v = -1v Solving 36v = -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 36v + v = -1v + v Combine like terms: 36v + v = 37v 37v = -1v + v Combine like terms: -1v + v = 0 37v = 0 Divide each side by '37'. v = 0 Simplifying v = 0
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