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Simplifying -89 = -1 + -4(4n + -6) Reorder the terms: -89 = -1 + -4(-6 + 4n) -89 = -1 + (-6 * -4 + 4n * -4) -89 = -1 + (24 + -16n) Combine like terms: -1 + 24 = 23 -89 = 23 + -16n Solving -89 = 23 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -89 + 16n = 23 + -16n + 16n Combine like terms: -16n + 16n = 0 -89 + 16n = 23 + 0 -89 + 16n = 23 Add '89' to each side of the equation. -89 + 89 + 16n = 23 + 89 Combine like terms: -89 + 89 = 0 0 + 16n = 23 + 89 16n = 23 + 89 Combine like terms: 23 + 89 = 112 16n = 112 Divide each side by '16'. n = 7 Simplifying n = 7
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