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Simplifying -26(n + 82) + 43 = -360 + 65n Reorder the terms: -26(82 + n) + 43 = -360 + 65n (82 * -26 + n * -26) + 43 = -360 + 65n (-2132 + -26n) + 43 = -360 + 65n Reorder the terms: -2132 + 43 + -26n = -360 + 65n Combine like terms: -2132 + 43 = -2089 -2089 + -26n = -360 + 65n Solving -2089 + -26n = -360 + 65n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-65n' to each side of the equation. -2089 + -26n + -65n = -360 + 65n + -65n Combine like terms: -26n + -65n = -91n -2089 + -91n = -360 + 65n + -65n Combine like terms: 65n + -65n = 0 -2089 + -91n = -360 + 0 -2089 + -91n = -360 Add '2089' to each side of the equation. -2089 + 2089 + -91n = -360 + 2089 Combine like terms: -2089 + 2089 = 0 0 + -91n = -360 + 2089 -91n = -360 + 2089 Combine like terms: -360 + 2089 = 1729 -91n = 1729 Divide each side by '-91'. n = -19 Simplifying n = -19
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