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Simplifying 53 = -6(v + -4) + -1(6v + -5) Reorder the terms: 53 = -6(-4 + v) + -1(6v + -5) 53 = (-4 * -6 + v * -6) + -1(6v + -5) 53 = (24 + -6v) + -1(6v + -5) Reorder the terms: 53 = 24 + -6v + -1(-5 + 6v) 53 = 24 + -6v + (-5 * -1 + 6v * -1) 53 = 24 + -6v + (5 + -6v) Reorder the terms: 53 = 24 + 5 + -6v + -6v Combine like terms: 24 + 5 = 29 53 = 29 + -6v + -6v Combine like terms: -6v + -6v = -12v 53 = 29 + -12v Solving 53 = 29 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 53 + 12v = 29 + -12v + 12v Combine like terms: -12v + 12v = 0 53 + 12v = 29 + 0 53 + 12v = 29 Add '-53' to each side of the equation. 53 + -53 + 12v = 29 + -53 Combine like terms: 53 + -53 = 0 0 + 12v = 29 + -53 12v = 29 + -53 Combine like terms: 29 + -53 = -24 12v = -24 Divide each side by '12'. v = -2 Simplifying v = -2
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