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Simplifying -6(2 + -6n) = -4 + 7(1 + 5n) (2 * -6 + -6n * -6) = -4 + 7(1 + 5n) (-12 + 36n) = -4 + 7(1 + 5n) -12 + 36n = -4 + (1 * 7 + 5n * 7) -12 + 36n = -4 + (7 + 35n) Combine like terms: -4 + 7 = 3 -12 + 36n = 3 + 35n Solving -12 + 36n = 3 + 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. -12 + 36n + -35n = 3 + 35n + -35n Combine like terms: 36n + -35n = 1n -12 + 1n = 3 + 35n + -35n Combine like terms: 35n + -35n = 0 -12 + 1n = 3 + 0 -12 + 1n = 3 Add '12' to each side of the equation. -12 + 12 + 1n = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 1n = 3 + 12 1n = 3 + 12 Combine like terms: 3 + 12 = 15 1n = 15 Divide each side by '1'. n = 15 Simplifying n = 15
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