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Simplifying 5(1 + -3n) = 6(n + -2) (1 * 5 + -3n * 5) = 6(n + -2) (5 + -15n) = 6(n + -2) Reorder the terms: 5 + -15n = 6(-2 + n) 5 + -15n = (-2 * 6 + n * 6) 5 + -15n = (-12 + 6n) Solving 5 + -15n = -12 + 6n 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. 5 + -15n + -6n = -12 + 6n + -6n Combine like terms: -15n + -6n = -21n 5 + -21n = -12 + 6n + -6n Combine like terms: 6n + -6n = 0 5 + -21n = -12 + 0 5 + -21n = -12 Add '-5' to each side of the equation. 5 + -5 + -21n = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -21n = -12 + -5 -21n = -12 + -5 Combine like terms: -12 + -5 = -17 -21n = -17 Divide each side by '-21'. n = 0.8095238095 Simplifying n = 0.8095238095
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