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