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Simplifying 6n + -13 = 2n + 51 Reorder the terms: -13 + 6n = 2n + 51 Reorder the terms: -13 + 6n = 51 + 2n Solving -13 + 6n = 51 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -13 + 6n + -2n = 51 + 2n + -2n Combine like terms: 6n + -2n = 4n -13 + 4n = 51 + 2n + -2n Combine like terms: 2n + -2n = 0 -13 + 4n = 51 + 0 -13 + 4n = 51 Add '13' to each side of the equation. -13 + 13 + 4n = 51 + 13 Combine like terms: -13 + 13 = 0 0 + 4n = 51 + 13 4n = 51 + 13 Combine like terms: 51 + 13 = 64 4n = 64 Divide each side by '4'. n = 16 Simplifying n = 16
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