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Simplifying 24(4n + -5) + -100n = 7(6 + -2n) Reorder the terms: 24(-5 + 4n) + -100n = 7(6 + -2n) (-5 * 24 + 4n * 24) + -100n = 7(6 + -2n) (-120 + 96n) + -100n = 7(6 + -2n) Combine like terms: 96n + -100n = -4n -120 + -4n = 7(6 + -2n) -120 + -4n = (6 * 7 + -2n * 7) -120 + -4n = (42 + -14n) Solving -120 + -4n = 42 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -120 + -4n + 14n = 42 + -14n + 14n Combine like terms: -4n + 14n = 10n -120 + 10n = 42 + -14n + 14n Combine like terms: -14n + 14n = 0 -120 + 10n = 42 + 0 -120 + 10n = 42 Add '120' to each side of the equation. -120 + 120 + 10n = 42 + 120 Combine like terms: -120 + 120 = 0 0 + 10n = 42 + 120 10n = 42 + 120 Combine like terms: 42 + 120 = 162 10n = 162 Divide each side by '10'. n = 16.2 Simplifying n = 16.2
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