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Simplifying 4n + -12 = -5n + 51 Reorder the terms: -12 + 4n = -5n + 51 Reorder the terms: -12 + 4n = 51 + -5n Solving -12 + 4n = 51 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -12 + 4n + 5n = 51 + -5n + 5n Combine like terms: 4n + 5n = 9n -12 + 9n = 51 + -5n + 5n Combine like terms: -5n + 5n = 0 -12 + 9n = 51 + 0 -12 + 9n = 51 Add '12' to each side of the equation. -12 + 12 + 9n = 51 + 12 Combine like terms: -12 + 12 = 0 0 + 9n = 51 + 12 9n = 51 + 12 Combine like terms: 51 + 12 = 63 9n = 63 Divide each side by '9'. n = 7 Simplifying n = 7
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