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Simplifying -8(v * 3) + -7v = -4 + 10(1 + -1v) Reorder the terms for easier multiplication: -8(3v) + -7v = -4 + 10(1 + -1v) Remove parenthesis around (3v) -8 * 3v + -7v = -4 + 10(1 + -1v) Multiply -8 * 3 -24v + -7v = -4 + 10(1 + -1v) Combine like terms: -24v + -7v = -31v -31v = -4 + 10(1 + -1v) -31v = -4 + (1 * 10 + -1v * 10) -31v = -4 + (10 + -10v) Combine like terms: -4 + 10 = 6 -31v = 6 + -10v Solving -31v = 6 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. -31v + 10v = 6 + -10v + 10v Combine like terms: -31v + 10v = -21v -21v = 6 + -10v + 10v Combine like terms: -10v + 10v = 0 -21v = 6 + 0 -21v = 6 Divide each side by '-21'. v = -0.2857142857 Simplifying v = -0.2857142857
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