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Simplifying -89 = -7 + -2(7n + -1) Reorder the terms: -89 = -7 + -2(-1 + 7n) -89 = -7 + (-1 * -2 + 7n * -2) -89 = -7 + (2 + -14n) Combine like terms: -7 + 2 = -5 -89 = -5 + -14n Solving -89 = -5 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -89 + 14n = -5 + -14n + 14n Combine like terms: -14n + 14n = 0 -89 + 14n = -5 + 0 -89 + 14n = -5 Add '89' to each side of the equation. -89 + 89 + 14n = -5 + 89 Combine like terms: -89 + 89 = 0 0 + 14n = -5 + 89 14n = -5 + 89 Combine like terms: -5 + 89 = 84 14n = 84 Divide each side by '14'. n = 6 Simplifying n = 6
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