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Simplifying 5(3n + -24) = 8 * 2n Reorder the terms: 5(-24 + 3n) = 8 * 2n (-24 * 5 + 3n * 5) = 8 * 2n (-120 + 15n) = 8 * 2n Multiply 8 * 2 -120 + 15n = 16n Solving -120 + 15n = 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. -120 + 15n + -16n = 16n + -16n Combine like terms: 15n + -16n = -1n -120 + -1n = 16n + -16n Combine like terms: 16n + -16n = 0 -120 + -1n = 0 Add '120' to each side of the equation. -120 + 120 + -1n = 0 + 120 Combine like terms: -120 + 120 = 0 0 + -1n = 0 + 120 -1n = 0 + 120 Combine like terms: 0 + 120 = 120 -1n = 120 Divide each side by '-1'. n = -120 Simplifying n = -120
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