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Simplifying 39 + -2n = 7n + 6(n + -6) Reorder the terms: 39 + -2n = 7n + 6(-6 + n) 39 + -2n = 7n + (-6 * 6 + n * 6) 39 + -2n = 7n + (-36 + 6n) Reorder the terms: 39 + -2n = -36 + 7n + 6n Combine like terms: 7n + 6n = 13n 39 + -2n = -36 + 13n Solving 39 + -2n = -36 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. 39 + -2n + -13n = -36 + 13n + -13n Combine like terms: -2n + -13n = -15n 39 + -15n = -36 + 13n + -13n Combine like terms: 13n + -13n = 0 39 + -15n = -36 + 0 39 + -15n = -36 Add '-39' to each side of the equation. 39 + -39 + -15n = -36 + -39 Combine like terms: 39 + -39 = 0 0 + -15n = -36 + -39 -15n = -36 + -39 Combine like terms: -36 + -39 = -75 -15n = -75 Divide each side by '-15'. n = 5 Simplifying n = 5
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