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Simplifying 84 = -5(3n + 4) + 2n Reorder the terms: 84 = -5(4 + 3n) + 2n 84 = (4 * -5 + 3n * -5) + 2n 84 = (-20 + -15n) + 2n Combine like terms: -15n + 2n = -13n 84 = -20 + -13n Solving 84 = -20 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. 84 + 13n = -20 + -13n + 13n Combine like terms: -13n + 13n = 0 84 + 13n = -20 + 0 84 + 13n = -20 Add '-84' to each side of the equation. 84 + -84 + 13n = -20 + -84 Combine like terms: 84 + -84 = 0 0 + 13n = -20 + -84 13n = -20 + -84 Combine like terms: -20 + -84 = -104 13n = -104 Divide each side by '13'. n = -8 Simplifying n = -8
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