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Simplifying -7(v + 4) = 6v + 11 Reorder the terms: -7(4 + v) = 6v + 11 (4 * -7 + v * -7) = 6v + 11 (-28 + -7v) = 6v + 11 Reorder the terms: -28 + -7v = 11 + 6v Solving -28 + -7v = 11 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -28 + -7v + -6v = 11 + 6v + -6v Combine like terms: -7v + -6v = -13v -28 + -13v = 11 + 6v + -6v Combine like terms: 6v + -6v = 0 -28 + -13v = 11 + 0 -28 + -13v = 11 Add '28' to each side of the equation. -28 + 28 + -13v = 11 + 28 Combine like terms: -28 + 28 = 0 0 + -13v = 11 + 28 -13v = 11 + 28 Combine like terms: 11 + 28 = 39 -13v = 39 Divide each side by '-13'. v = -3 Simplifying v = -3
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