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Simplifying -163 = 6(-7n + 2) + -7 Reorder the terms: -163 = 6(2 + -7n) + -7 -163 = (2 * 6 + -7n * 6) + -7 -163 = (12 + -42n) + -7 Reorder the terms: -163 = 12 + -7 + -42n Combine like terms: 12 + -7 = 5 -163 = 5 + -42n Solving -163 = 5 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. -163 + 42n = 5 + -42n + 42n Combine like terms: -42n + 42n = 0 -163 + 42n = 5 + 0 -163 + 42n = 5 Add '163' to each side of the equation. -163 + 163 + 42n = 5 + 163 Combine like terms: -163 + 163 = 0 0 + 42n = 5 + 163 42n = 5 + 163 Combine like terms: 5 + 163 = 168 42n = 168 Divide each side by '42'. n = 4 Simplifying n = 4
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