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Simplifying 37 = -6(1 + 6x) + -1(6n + -1) 37 = (1 * -6 + 6x * -6) + -1(6n + -1) 37 = (-6 + -36x) + -1(6n + -1) Reorder the terms: 37 = -6 + -36x + -1(-1 + 6n) 37 = -6 + -36x + (-1 * -1 + 6n * -1) 37 = -6 + -36x + (1 + -6n) Reorder the terms: 37 = -6 + 1 + -6n + -36x Combine like terms: -6 + 1 = -5 37 = -5 + -6n + -36x Solving 37 = -5 + -6n + -36x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 37 + 6n = -5 + -6n + 6n + -36x Combine like terms: -6n + 6n = 0 37 + 6n = -5 + 0 + -36x 37 + 6n = -5 + -36x Add '-37' to each side of the equation. 37 + -37 + 6n = -5 + -37 + -36x Combine like terms: 37 + -37 = 0 0 + 6n = -5 + -37 + -36x 6n = -5 + -37 + -36x Combine like terms: -5 + -37 = -42 6n = -42 + -36x Divide each side by '6'. n = -7 + -6x Simplifying n = -7 + -6x
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