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Simplifying 10v + 56 + -3v = 10(v + 8) Reorder the terms: 56 + 10v + -3v = 10(v + 8) Combine like terms: 10v + -3v = 7v 56 + 7v = 10(v + 8) Reorder the terms: 56 + 7v = 10(8 + v) 56 + 7v = (8 * 10 + v * 10) 56 + 7v = (80 + 10v) Solving 56 + 7v = 80 + 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. 56 + 7v + -10v = 80 + 10v + -10v Combine like terms: 7v + -10v = -3v 56 + -3v = 80 + 10v + -10v Combine like terms: 10v + -10v = 0 56 + -3v = 80 + 0 56 + -3v = 80 Add '-56' to each side of the equation. 56 + -56 + -3v = 80 + -56 Combine like terms: 56 + -56 = 0 0 + -3v = 80 + -56 -3v = 80 + -56 Combine like terms: 80 + -56 = 24 -3v = 24 Divide each side by '-3'. v = -8 Simplifying v = -8
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