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Simplifying -7v + 13 = -3(v + 1) Reorder the terms: 13 + -7v = -3(v + 1) Reorder the terms: 13 + -7v = -3(1 + v) 13 + -7v = (1 * -3 + v * -3) 13 + -7v = (-3 + -3v) Solving 13 + -7v = -3 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 13 + -7v + 3v = -3 + -3v + 3v Combine like terms: -7v + 3v = -4v 13 + -4v = -3 + -3v + 3v Combine like terms: -3v + 3v = 0 13 + -4v = -3 + 0 13 + -4v = -3 Add '-13' to each side of the equation. 13 + -13 + -4v = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -4v = -3 + -13 -4v = -3 + -13 Combine like terms: -3 + -13 = -16 -4v = -16 Divide each side by '-4'. v = 4 Simplifying v = 4
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