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