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Simplifying 6n + -3 = 12n + 51 Reorder the terms: -3 + 6n = 12n + 51 Reorder the terms: -3 + 6n = 51 + 12n Solving -3 + 6n = 51 + 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. -3 + 6n + -12n = 51 + 12n + -12n Combine like terms: 6n + -12n = -6n -3 + -6n = 51 + 12n + -12n Combine like terms: 12n + -12n = 0 -3 + -6n = 51 + 0 -3 + -6n = 51 Add '3' to each side of the equation. -3 + 3 + -6n = 51 + 3 Combine like terms: -3 + 3 = 0 0 + -6n = 51 + 3 -6n = 51 + 3 Combine like terms: 51 + 3 = 54 -6n = 54 Divide each side by '-6'. n = -9 Simplifying n = -9
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