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Simplifying -48 = 2(6v + -2) + -7(1 + 7v) Reorder the terms: -48 = 2(-2 + 6v) + -7(1 + 7v) -48 = (-2 * 2 + 6v * 2) + -7(1 + 7v) -48 = (-4 + 12v) + -7(1 + 7v) -48 = -4 + 12v + (1 * -7 + 7v * -7) -48 = -4 + 12v + (-7 + -49v) Reorder the terms: -48 = -4 + -7 + 12v + -49v Combine like terms: -4 + -7 = -11 -48 = -11 + 12v + -49v Combine like terms: 12v + -49v = -37v -48 = -11 + -37v Solving -48 = -11 + -37v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '37v' to each side of the equation. -48 + 37v = -11 + -37v + 37v Combine like terms: -37v + 37v = 0 -48 + 37v = -11 + 0 -48 + 37v = -11 Add '48' to each side of the equation. -48 + 48 + 37v = -11 + 48 Combine like terms: -48 + 48 = 0 0 + 37v = -11 + 48 37v = -11 + 48 Combine like terms: -11 + 48 = 37 37v = 37 Divide each side by '37'. v = 1 Simplifying v = 1
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