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Simplifying -4v + -28 = -4(1 + 7v) Reorder the terms: -28 + -4v = -4(1 + 7v) -28 + -4v = (1 * -4 + 7v * -4) -28 + -4v = (-4 + -28v) Solving -28 + -4v = -4 + -28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28v' to each side of the equation. -28 + -4v + 28v = -4 + -28v + 28v Combine like terms: -4v + 28v = 24v -28 + 24v = -4 + -28v + 28v Combine like terms: -28v + 28v = 0 -28 + 24v = -4 + 0 -28 + 24v = -4 Add '28' to each side of the equation. -28 + 28 + 24v = -4 + 28 Combine like terms: -28 + 28 = 0 0 + 24v = -4 + 28 24v = -4 + 28 Combine like terms: -4 + 28 = 24 24v = 24 Divide each side by '24'. v = 1 Simplifying v = 1
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