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Simplifying -1 + 5(6v + -6) = -4(v + 1) + 7 Reorder the terms: -1 + 5(-6 + 6v) = -4(v + 1) + 7 -1 + (-6 * 5 + 6v * 5) = -4(v + 1) + 7 -1 + (-30 + 30v) = -4(v + 1) + 7 Combine like terms: -1 + -30 = -31 -31 + 30v = -4(v + 1) + 7 Reorder the terms: -31 + 30v = -4(1 + v) + 7 -31 + 30v = (1 * -4 + v * -4) + 7 -31 + 30v = (-4 + -4v) + 7 Reorder the terms: -31 + 30v = -4 + 7 + -4v Combine like terms: -4 + 7 = 3 -31 + 30v = 3 + -4v Solving -31 + 30v = 3 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -31 + 30v + 4v = 3 + -4v + 4v Combine like terms: 30v + 4v = 34v -31 + 34v = 3 + -4v + 4v Combine like terms: -4v + 4v = 0 -31 + 34v = 3 + 0 -31 + 34v = 3 Add '31' to each side of the equation. -31 + 31 + 34v = 3 + 31 Combine like terms: -31 + 31 = 0 0 + 34v = 3 + 31 34v = 3 + 31 Combine like terms: 3 + 31 = 34 34v = 34 Divide each side by '34'. v = 1 Simplifying v = 1
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