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Simplifying 36 + -7n = 6(1 + -2n) 36 + -7n = (1 * 6 + -2n * 6) 36 + -7n = (6 + -12n) Solving 36 + -7n = 6 + -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. 36 + -7n + 12n = 6 + -12n + 12n Combine like terms: -7n + 12n = 5n 36 + 5n = 6 + -12n + 12n Combine like terms: -12n + 12n = 0 36 + 5n = 6 + 0 36 + 5n = 6 Add '-36' to each side of the equation. 36 + -36 + 5n = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 5n = 6 + -36 5n = 6 + -36 Combine like terms: 6 + -36 = -30 5n = -30 Divide each side by '5'. n = -6 Simplifying n = -6
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