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Simplifying 7(v + -4) = -5v + -16 Reorder the terms: 7(-4 + v) = -5v + -16 (-4 * 7 + v * 7) = -5v + -16 (-28 + 7v) = -5v + -16 Reorder the terms: -28 + 7v = -16 + -5v Solving -28 + 7v = -16 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -28 + 7v + 5v = -16 + -5v + 5v Combine like terms: 7v + 5v = 12v -28 + 12v = -16 + -5v + 5v Combine like terms: -5v + 5v = 0 -28 + 12v = -16 + 0 -28 + 12v = -16 Add '28' to each side of the equation. -28 + 28 + 12v = -16 + 28 Combine like terms: -28 + 28 = 0 0 + 12v = -16 + 28 12v = -16 + 28 Combine like terms: -16 + 28 = 12 12v = 12 Divide each side by '12'. v = 1 Simplifying v = 1
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