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Simplifying -183 = -7(4n + 1) + -8 Reorder the terms: -183 = -7(1 + 4n) + -8 -183 = (1 * -7 + 4n * -7) + -8 -183 = (-7 + -28n) + -8 Reorder the terms: -183 = -7 + -8 + -28n Combine like terms: -7 + -8 = -15 -183 = -15 + -28n Solving -183 = -15 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. -183 + 28n = -15 + -28n + 28n Combine like terms: -28n + 28n = 0 -183 + 28n = -15 + 0 -183 + 28n = -15 Add '183' to each side of the equation. -183 + 183 + 28n = -15 + 183 Combine like terms: -183 + 183 = 0 0 + 28n = -15 + 183 28n = -15 + 183 Combine like terms: -15 + 183 = 168 28n = 168 Divide each side by '28'. n = 6 Simplifying n = 6
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