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Simplifying 5n + 3 = 4 + -6(6 + -5n) Reorder the terms: 3 + 5n = 4 + -6(6 + -5n) 3 + 5n = 4 + (6 * -6 + -5n * -6) 3 + 5n = 4 + (-36 + 30n) Combine like terms: 4 + -36 = -32 3 + 5n = -32 + 30n Solving 3 + 5n = -32 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 3 + 5n + -30n = -32 + 30n + -30n Combine like terms: 5n + -30n = -25n 3 + -25n = -32 + 30n + -30n Combine like terms: 30n + -30n = 0 3 + -25n = -32 + 0 3 + -25n = -32 Add '-3' to each side of the equation. 3 + -3 + -25n = -32 + -3 Combine like terms: 3 + -3 = 0 0 + -25n = -32 + -3 -25n = -32 + -3 Combine like terms: -32 + -3 = -35 -25n = -35 Divide each side by '-25'. n = 1.4 Simplifying n = 1.4
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