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Simplifying -5(3v + -6) = 4(1 + -7v) Reorder the terms: -5(-6 + 3v) = 4(1 + -7v) (-6 * -5 + 3v * -5) = 4(1 + -7v) (30 + -15v) = 4(1 + -7v) 30 + -15v = (1 * 4 + -7v * 4) 30 + -15v = (4 + -28v) Solving 30 + -15v = 4 + -28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28v' to each side of the equation. 30 + -15v + 28v = 4 + -28v + 28v Combine like terms: -15v + 28v = 13v 30 + 13v = 4 + -28v + 28v Combine like terms: -28v + 28v = 0 30 + 13v = 4 + 0 30 + 13v = 4 Add '-30' to each side of the equation. 30 + -30 + 13v = 4 + -30 Combine like terms: 30 + -30 = 0 0 + 13v = 4 + -30 13v = 4 + -30 Combine like terms: 4 + -30 = -26 13v = -26 Divide each side by '13'. v = -2 Simplifying v = -2
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