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Simplifying 8 + -8(3n + 5) = -5 + 6(1 + n) Reorder the terms: 8 + -8(5 + 3n) = -5 + 6(1 + n) 8 + (5 * -8 + 3n * -8) = -5 + 6(1 + n) 8 + (-40 + -24n) = -5 + 6(1 + n) Combine like terms: 8 + -40 = -32 -32 + -24n = -5 + 6(1 + n) -32 + -24n = -5 + (1 * 6 + n * 6) -32 + -24n = -5 + (6 + 6n) Combine like terms: -5 + 6 = 1 -32 + -24n = 1 + 6n Solving -32 + -24n = 1 + 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. -32 + -24n + -6n = 1 + 6n + -6n Combine like terms: -24n + -6n = -30n -32 + -30n = 1 + 6n + -6n Combine like terms: 6n + -6n = 0 -32 + -30n = 1 + 0 -32 + -30n = 1 Add '32' to each side of the equation. -32 + 32 + -30n = 1 + 32 Combine like terms: -32 + 32 = 0 0 + -30n = 1 + 32 -30n = 1 + 32 Combine like terms: 1 + 32 = 33 -30n = 33 Divide each side by '-30'. n = -1.1 Simplifying n = -1.1
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