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Simplifying -30 = 4(v + -6) + -7 Reorder the terms: -30 = 4(-6 + v) + -7 -30 = (-6 * 4 + v * 4) + -7 -30 = (-24 + 4v) + -7 Reorder the terms: -30 = -24 + -7 + 4v Combine like terms: -24 + -7 = -31 -30 = -31 + 4v Solving -30 = -31 + 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. -30 + -4v = -31 + 4v + -4v Combine like terms: 4v + -4v = 0 -30 + -4v = -31 + 0 -30 + -4v = -31 Add '30' to each side of the equation. -30 + 30 + -4v = -31 + 30 Combine like terms: -30 + 30 = 0 0 + -4v = -31 + 30 -4v = -31 + 30 Combine like terms: -31 + 30 = -1 -4v = -1 Divide each side by '-4'. v = 0.25 Simplifying v = 0.25
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