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Simplifying -89 = 3(-4 + 3n) + -5 -89 = (-4 * 3 + 3n * 3) + -5 -89 = (-12 + 9n) + -5 Reorder the terms: -89 = -12 + -5 + 9n Combine like terms: -12 + -5 = -17 -89 = -17 + 9n Solving -89 = -17 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -89 + -9n = -17 + 9n + -9n Combine like terms: 9n + -9n = 0 -89 + -9n = -17 + 0 -89 + -9n = -17 Add '89' to each side of the equation. -89 + 89 + -9n = -17 + 89 Combine like terms: -89 + 89 = 0 0 + -9n = -17 + 89 -9n = -17 + 89 Combine like terms: -17 + 89 = 72 -9n = 72 Divide each side by '-9'. n = -8 Simplifying n = -8
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