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Simplifying 10(8 + -3v) + -1(v + 10) = v + 4 + v (8 * 10 + -3v * 10) + -1(v + 10) = v + 4 + v (80 + -30v) + -1(v + 10) = v + 4 + v Reorder the terms: 80 + -30v + -1(10 + v) = v + 4 + v 80 + -30v + (10 * -1 + v * -1) = v + 4 + v 80 + -30v + (-10 + -1v) = v + 4 + v Reorder the terms: 80 + -10 + -30v + -1v = v + 4 + v Combine like terms: 80 + -10 = 70 70 + -30v + -1v = v + 4 + v Combine like terms: -30v + -1v = -31v 70 + -31v = v + 4 + v Reorder the terms: 70 + -31v = 4 + v + v Combine like terms: v + v = 2v 70 + -31v = 4 + 2v Solving 70 + -31v = 4 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 70 + -31v + -2v = 4 + 2v + -2v Combine like terms: -31v + -2v = -33v 70 + -33v = 4 + 2v + -2v Combine like terms: 2v + -2v = 0 70 + -33v = 4 + 0 70 + -33v = 4 Add '-70' to each side of the equation. 70 + -70 + -33v = 4 + -70 Combine like terms: 70 + -70 = 0 0 + -33v = 4 + -70 -33v = 4 + -70 Combine like terms: 4 + -70 = -66 -33v = -66 Divide each side by '-33'. v = 2 Simplifying v = 2
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