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Simplifying -3v + 26 = 4(v + -4) Reorder the terms: 26 + -3v = 4(v + -4) Reorder the terms: 26 + -3v = 4(-4 + v) 26 + -3v = (-4 * 4 + v * 4) 26 + -3v = (-16 + 4v) Solving 26 + -3v = -16 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 26 + -3v + -4v = -16 + 4v + -4v Combine like terms: -3v + -4v = -7v 26 + -7v = -16 + 4v + -4v Combine like terms: 4v + -4v = 0 26 + -7v = -16 + 0 26 + -7v = -16 Add '-26' to each side of the equation. 26 + -26 + -7v = -16 + -26 Combine like terms: 26 + -26 = 0 0 + -7v = -16 + -26 -7v = -16 + -26 Combine like terms: -16 + -26 = -42 -7v = -42 Divide each side by '-7'. v = 6 Simplifying v = 6
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