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Simplifying -3(2v + 15) = 4 + v Reorder the terms: -3(15 + 2v) = 4 + v (15 * -3 + 2v * -3) = 4 + v (-45 + -6v) = 4 + v Solving -45 + -6v = 4 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -45 + -6v + -1v = 4 + v + -1v Combine like terms: -6v + -1v = -7v -45 + -7v = 4 + v + -1v Combine like terms: v + -1v = 0 -45 + -7v = 4 + 0 -45 + -7v = 4 Add '45' to each side of the equation. -45 + 45 + -7v = 4 + 45 Combine like terms: -45 + 45 = 0 0 + -7v = 4 + 45 -7v = 4 + 45 Combine like terms: 4 + 45 = 49 -7v = 49 Divide each side by '-7'. v = -7 Simplifying v = -7
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