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Simplifying -64 = -1n + 6(1 + 6n) -64 = -1n + (1 * 6 + 6n * 6) -64 = -1n + (6 + 36n) Reorder the terms: -64 = 6 + -1n + 36n Combine like terms: -1n + 36n = 35n -64 = 6 + 35n Solving -64 = 6 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. -64 + -35n = 6 + 35n + -35n Combine like terms: 35n + -35n = 0 -64 + -35n = 6 + 0 -64 + -35n = 6 Add '64' to each side of the equation. -64 + 64 + -35n = 6 + 64 Combine like terms: -64 + 64 = 0 0 + -35n = 6 + 64 -35n = 6 + 64 Combine like terms: 6 + 64 = 70 -35n = 70 Divide each side by '-35'. n = -2 Simplifying n = -2
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