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Simplifying 6(6n + -1) = 7(5n + -2) Reorder the terms: 6(-1 + 6n) = 7(5n + -2) (-1 * 6 + 6n * 6) = 7(5n + -2) (-6 + 36n) = 7(5n + -2) Reorder the terms: -6 + 36n = 7(-2 + 5n) -6 + 36n = (-2 * 7 + 5n * 7) -6 + 36n = (-14 + 35n) Solving -6 + 36n = -14 + 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. -6 + 36n + -35n = -14 + 35n + -35n Combine like terms: 36n + -35n = 1n -6 + 1n = -14 + 35n + -35n Combine like terms: 35n + -35n = 0 -6 + 1n = -14 + 0 -6 + 1n = -14 Add '6' to each side of the equation. -6 + 6 + 1n = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 1n = -14 + 6 1n = -14 + 6 Combine like terms: -14 + 6 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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