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Simplifying 10n + -13 = -11 + -8(11 + -12n) Reorder the terms: -13 + 10n = -11 + -8(11 + -12n) -13 + 10n = -11 + (11 * -8 + -12n * -8) -13 + 10n = -11 + (-88 + 96n) Combine like terms: -11 + -88 = -99 -13 + 10n = -99 + 96n Solving -13 + 10n = -99 + 96n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-96n' to each side of the equation. -13 + 10n + -96n = -99 + 96n + -96n Combine like terms: 10n + -96n = -86n -13 + -86n = -99 + 96n + -96n Combine like terms: 96n + -96n = 0 -13 + -86n = -99 + 0 -13 + -86n = -99 Add '13' to each side of the equation. -13 + 13 + -86n = -99 + 13 Combine like terms: -13 + 13 = 0 0 + -86n = -99 + 13 -86n = -99 + 13 Combine like terms: -99 + 13 = -86 -86n = -86 Divide each side by '-86'. n = 1 Simplifying n = 1
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