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Simplifying -89 = 4(-5n + -2) + -1 Reorder the terms: -89 = 4(-2 + -5n) + -1 -89 = (-2 * 4 + -5n * 4) + -1 -89 = (-8 + -20n) + -1 Reorder the terms: -89 = -8 + -1 + -20n Combine like terms: -8 + -1 = -9 -89 = -9 + -20n Solving -89 = -9 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. -89 + 20n = -9 + -20n + 20n Combine like terms: -20n + 20n = 0 -89 + 20n = -9 + 0 -89 + 20n = -9 Add '89' to each side of the equation. -89 + 89 + 20n = -9 + 89 Combine like terms: -89 + 89 = 0 0 + 20n = -9 + 89 20n = -9 + 89 Combine like terms: -9 + 89 = 80 20n = 80 Divide each side by '20'. n = 4 Simplifying n = 4
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