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Simplifying 5n + -2 + 3n = 17 + 12n + -23 Reorder the terms: -2 + 5n + 3n = 17 + 12n + -23 Combine like terms: 5n + 3n = 8n -2 + 8n = 17 + 12n + -23 Reorder the terms: -2 + 8n = 17 + -23 + 12n Combine like terms: 17 + -23 = -6 -2 + 8n = -6 + 12n Solving -2 + 8n = -6 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -2 + 8n + -12n = -6 + 12n + -12n Combine like terms: 8n + -12n = -4n -2 + -4n = -6 + 12n + -12n Combine like terms: 12n + -12n = 0 -2 + -4n = -6 + 0 -2 + -4n = -6 Add '2' to each side of the equation. -2 + 2 + -4n = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -4n = -6 + 2 -4n = -6 + 2 Combine like terms: -6 + 2 = -4 -4n = -4 Divide each side by '-4'. n = 1 Simplifying n = 1
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