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Simplifying 7(v + -4) = -7v + 42 Reorder the terms: 7(-4 + v) = -7v + 42 (-4 * 7 + v * 7) = -7v + 42 (-28 + 7v) = -7v + 42 Reorder the terms: -28 + 7v = 42 + -7v Solving -28 + 7v = 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. -28 + 7v + 7v = 42 + -7v + 7v Combine like terms: 7v + 7v = 14v -28 + 14v = 42 + -7v + 7v Combine like terms: -7v + 7v = 0 -28 + 14v = 42 + 0 -28 + 14v = 42 Add '28' to each side of the equation. -28 + 28 + 14v = 42 + 28 Combine like terms: -28 + 28 = 0 0 + 14v = 42 + 28 14v = 42 + 28 Combine like terms: 42 + 28 = 70 14v = 70 Divide each side by '14'. v = 5 Simplifying v = 5
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