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Simplifying 6(v + -1) + -7 = -7(-3v + 4) + -3v Reorder the terms: 6(-1 + v) + -7 = -7(-3v + 4) + -3v (-1 * 6 + v * 6) + -7 = -7(-3v + 4) + -3v (-6 + 6v) + -7 = -7(-3v + 4) + -3v Reorder the terms: -6 + -7 + 6v = -7(-3v + 4) + -3v Combine like terms: -6 + -7 = -13 -13 + 6v = -7(-3v + 4) + -3v Reorder the terms: -13 + 6v = -7(4 + -3v) + -3v -13 + 6v = (4 * -7 + -3v * -7) + -3v -13 + 6v = (-28 + 21v) + -3v Combine like terms: 21v + -3v = 18v -13 + 6v = -28 + 18v Solving -13 + 6v = -28 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -13 + 6v + -18v = -28 + 18v + -18v Combine like terms: 6v + -18v = -12v -13 + -12v = -28 + 18v + -18v Combine like terms: 18v + -18v = 0 -13 + -12v = -28 + 0 -13 + -12v = -28 Add '13' to each side of the equation. -13 + 13 + -12v = -28 + 13 Combine like terms: -13 + 13 = 0 0 + -12v = -28 + 13 -12v = -28 + 13 Combine like terms: -28 + 13 = -15 -12v = -15 Divide each side by '-12'. v = 1.25 Simplifying v = 1.25
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