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Simplifying 4n + -6 = 12n + 10 Reorder the terms: -6 + 4n = 12n + 10 Reorder the terms: -6 + 4n = 10 + 12n Solving -6 + 4n = 10 + 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. -6 + 4n + -12n = 10 + 12n + -12n Combine like terms: 4n + -12n = -8n -6 + -8n = 10 + 12n + -12n Combine like terms: 12n + -12n = 0 -6 + -8n = 10 + 0 -6 + -8n = 10 Add '6' to each side of the equation. -6 + 6 + -8n = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -8n = 10 + 6 -8n = 10 + 6 Combine like terms: 10 + 6 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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