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Simplifying 8v + 40 = -6(5 + -3v) Reorder the terms: 40 + 8v = -6(5 + -3v) 40 + 8v = (5 * -6 + -3v * -6) 40 + 8v = (-30 + 18v) Solving 40 + 8v = -30 + 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. 40 + 8v + -18v = -30 + 18v + -18v Combine like terms: 8v + -18v = -10v 40 + -10v = -30 + 18v + -18v Combine like terms: 18v + -18v = 0 40 + -10v = -30 + 0 40 + -10v = -30 Add '-40' to each side of the equation. 40 + -40 + -10v = -30 + -40 Combine like terms: 40 + -40 = 0 0 + -10v = -30 + -40 -10v = -30 + -40 Combine like terms: -30 + -40 = -70 -10v = -70 Divide each side by '-10'. v = 7 Simplifying v = 7
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