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Simplifying -3n + 5 = -8(1 + 2n) Reorder the terms: 5 + -3n = -8(1 + 2n) 5 + -3n = (1 * -8 + 2n * -8) 5 + -3n = (-8 + -16n) Solving 5 + -3n = -8 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. 5 + -3n + 16n = -8 + -16n + 16n Combine like terms: -3n + 16n = 13n 5 + 13n = -8 + -16n + 16n Combine like terms: -16n + 16n = 0 5 + 13n = -8 + 0 5 + 13n = -8 Add '-5' to each side of the equation. 5 + -5 + 13n = -8 + -5 Combine like terms: 5 + -5 = 0 0 + 13n = -8 + -5 13n = -8 + -5 Combine like terms: -8 + -5 = -13 13n = -13 Divide each side by '13'. n = -1 Simplifying n = -1
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