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Simplifying -13v + -42 = -3(-14v + 14) Reorder the terms: -42 + -13v = -3(-14v + 14) Reorder the terms: -42 + -13v = -3(14 + -14v) -42 + -13v = (14 * -3 + -14v * -3) -42 + -13v = (-42 + 42v) Add '42' to each side of the equation. -42 + 42 + -13v = -42 + 42 + 42v Combine like terms: -42 + 42 = 0 0 + -13v = -42 + 42 + 42v -13v = -42 + 42 + 42v Combine like terms: -42 + 42 = 0 -13v = 0 + 42v -13v = 42v Solving -13v = 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. -13v + -42v = 42v + -42v Combine like terms: -13v + -42v = -55v -55v = 42v + -42v Combine like terms: 42v + -42v = 0 -55v = 0 Divide each side by '-55'. v = 0 Simplifying v = 0
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