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Simplifying 12 + 5n = -2(-5 + 2n) + 8n 12 + 5n = (-5 * -2 + 2n * -2) + 8n 12 + 5n = (10 + -4n) + 8n Combine like terms: -4n + 8n = 4n 12 + 5n = 10 + 4n Solving 12 + 5n = 10 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 12 + 5n + -4n = 10 + 4n + -4n Combine like terms: 5n + -4n = 1n 12 + 1n = 10 + 4n + -4n Combine like terms: 4n + -4n = 0 12 + 1n = 10 + 0 12 + 1n = 10 Add '-12' to each side of the equation. 12 + -12 + 1n = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = 10 + -12 1n = 10 + -12 Combine like terms: 10 + -12 = -2 1n = -2 Divide each side by '1'. n = -2 Simplifying n = -2
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