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Simplifying -1n + -40 = 6(5 + -6n) Reorder the terms: -40 + -1n = 6(5 + -6n) -40 + -1n = (5 * 6 + -6n * 6) -40 + -1n = (30 + -36n) Solving -40 + -1n = 30 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. -40 + -1n + 36n = 30 + -36n + 36n Combine like terms: -1n + 36n = 35n -40 + 35n = 30 + -36n + 36n Combine like terms: -36n + 36n = 0 -40 + 35n = 30 + 0 -40 + 35n = 30 Add '40' to each side of the equation. -40 + 40 + 35n = 30 + 40 Combine like terms: -40 + 40 = 0 0 + 35n = 30 + 40 35n = 30 + 40 Combine like terms: 30 + 40 = 70 35n = 70 Divide each side by '35'. n = 2 Simplifying n = 2
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