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Simplifying -10 = 7v + 8(v + -5) Reorder the terms: -10 = 7v + 8(-5 + v) -10 = 7v + (-5 * 8 + v * 8) -10 = 7v + (-40 + 8v) Reorder the terms: -10 = -40 + 7v + 8v Combine like terms: 7v + 8v = 15v -10 = -40 + 15v Solving -10 = -40 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -10 + -15v = -40 + 15v + -15v Combine like terms: 15v + -15v = 0 -10 + -15v = -40 + 0 -10 + -15v = -40 Add '10' to each side of the equation. -10 + 10 + -15v = -40 + 10 Combine like terms: -10 + 10 = 0 0 + -15v = -40 + 10 -15v = -40 + 10 Combine like terms: -40 + 10 = -30 -15v = -30 Divide each side by '-15'. v = 2 Simplifying v = 2
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