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Simplifying -4n + 17 + -10n + 9 = n + -44 Reorder the terms: 17 + 9 + -4n + -10n = n + -44 Combine like terms: 17 + 9 = 26 26 + -4n + -10n = n + -44 Combine like terms: -4n + -10n = -14n 26 + -14n = n + -44 Reorder the terms: 26 + -14n = -44 + n Solving 26 + -14n = -44 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 26 + -14n + -1n = -44 + n + -1n Combine like terms: -14n + -1n = -15n 26 + -15n = -44 + n + -1n Combine like terms: n + -1n = 0 26 + -15n = -44 + 0 26 + -15n = -44 Add '-26' to each side of the equation. 26 + -26 + -15n = -44 + -26 Combine like terms: 26 + -26 = 0 0 + -15n = -44 + -26 -15n = -44 + -26 Combine like terms: -44 + -26 = -70 -15n = -70 Divide each side by '-15'. n = 4.666666667 Simplifying n = 4.666666667
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