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Simplifying 1 + -6v = 7 + 7(-8v + -3) Reorder the terms: 1 + -6v = 7 + 7(-3 + -8v) 1 + -6v = 7 + (-3 * 7 + -8v * 7) 1 + -6v = 7 + (-21 + -56v) Combine like terms: 7 + -21 = -14 1 + -6v = -14 + -56v Solving 1 + -6v = -14 + -56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '56v' to each side of the equation. 1 + -6v + 56v = -14 + -56v + 56v Combine like terms: -6v + 56v = 50v 1 + 50v = -14 + -56v + 56v Combine like terms: -56v + 56v = 0 1 + 50v = -14 + 0 1 + 50v = -14 Add '-1' to each side of the equation. 1 + -1 + 50v = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 50v = -14 + -1 50v = -14 + -1 Combine like terms: -14 + -1 = -15 50v = -15 Divide each side by '50'. v = -0.3 Simplifying v = -0.3
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