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Simplifying -1[8] * v + 28 = 6(1[v + 7] * 1) Multiply -1 * 8 -8v + 28 = 6(1[v + 7] * 1) Reorder the terms: 28 + -8v = 6(1[v + 7] * 1) Reorder the terms: 28 + -8v = 6(1[7 + v] * 1) Reorder the terms for easier multiplication: 28 + -8v = 6(1 * 1[7 + v]) Multiply 1 * 1 28 + -8v = 6(1[7 + v]) 28 + -8v = 6([7 * 1 + v * 1]) 28 + -8v = 6([7 + 1v]) 28 + -8v = (7 * 6 + 1v * 6) 28 + -8v = (42 + 6v) Solving 28 + -8v = 42 + 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 + -8v + -6v = 42 + 6v + -6v Combine like terms: -8v + -6v = -14v 28 + -14v = 42 + 6v + -6v Combine like terms: 6v + -6v = 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 = 14 -14v = 14 Divide each side by '-14'. v = -1 Simplifying v = -1
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