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Simplifying 48 = 6(v + 10) + -12(1 + -6v) Reorder the terms: 48 = 6(10 + v) + -12(1 + -6v) 48 = (10 * 6 + v * 6) + -12(1 + -6v) 48 = (60 + 6v) + -12(1 + -6v) 48 = 60 + 6v + (1 * -12 + -6v * -12) 48 = 60 + 6v + (-12 + 72v) Reorder the terms: 48 = 60 + -12 + 6v + 72v Combine like terms: 60 + -12 = 48 48 = 48 + 6v + 72v Combine like terms: 6v + 72v = 78v 48 = 48 + 78v Add '-48' to each side of the equation. 48 + -48 = 48 + -48 + 78v Combine like terms: 48 + -48 = 0 0 = 48 + -48 + 78v Combine like terms: 48 + -48 = 0 0 = 0 + 78v 0 = 78v Solving 0 = 78v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-78v' to each side of the equation. 0 + -78v = 78v + -78v Remove the zero: -78v = 78v + -78v Combine like terms: 78v + -78v = 0 -78v = 0 Divide each side by '-78'. v = 0 Simplifying v = 0
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