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Simplifying -6(v + 1) = 2(1 + -3x) + -7 Reorder the terms: -6(1 + v) = 2(1 + -3x) + -7 (1 * -6 + v * -6) = 2(1 + -3x) + -7 (-6 + -6v) = 2(1 + -3x) + -7 -6 + -6v = (1 * 2 + -3x * 2) + -7 -6 + -6v = (2 + -6x) + -7 Reorder the terms: -6 + -6v = 2 + -7 + -6x Combine like terms: 2 + -7 = -5 -6 + -6v = -5 + -6x Solving -6 + -6v = -5 + -6x 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 + -6v = -5 + 6 + -6x Combine like terms: -6 + 6 = 0 0 + -6v = -5 + 6 + -6x -6v = -5 + 6 + -6x Combine like terms: -5 + 6 = 1 -6v = 1 + -6x Divide each side by '-6'. v = -0.1666666667 + x Simplifying v = -0.1666666667 + x
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