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Simplifying 7(1[v + 6] * 1) = -1[6] * v + -10 Reorder the terms: 7(1[6 + v] * 1) = -1[6] * v + -10 Reorder the terms for easier multiplication: 7(1 * 1[6 + v]) = -1[6] * v + -10 Multiply 1 * 1 7(1[6 + v]) = -1[6] * v + -10 7([6 * 1 + v * 1]) = -1[6] * v + -10 7([6 + 1v]) = -1[6] * v + -10 (6 * 7 + 1v * 7) = -1[6] * v + -10 (42 + 7v) = -1[6] * v + -10 Multiply -1 * 6 42 + 7v = -6v + -10 Reorder the terms: 42 + 7v = -10 + -6v Solving 42 + 7v = -10 + -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. 42 + 7v + 6v = -10 + -6v + 6v Combine like terms: 7v + 6v = 13v 42 + 13v = -10 + -6v + 6v Combine like terms: -6v + 6v = 0 42 + 13v = -10 + 0 42 + 13v = -10 Add '-42' to each side of the equation. 42 + -42 + 13v = -10 + -42 Combine like terms: 42 + -42 = 0 0 + 13v = -10 + -42 13v = -10 + -42 Combine like terms: -10 + -42 = -52 13v = -52 Divide each side by '13'. v = -4 Simplifying v = -4
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