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Simplifying 3n + 7 = -2(n + 8) Reorder the terms: 7 + 3n = -2(n + 8) Reorder the terms: 7 + 3n = -2(8 + n) 7 + 3n = (8 * -2 + n * -2) 7 + 3n = (-16 + -2n) Solving 7 + 3n = -16 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 7 + 3n + 2n = -16 + -2n + 2n Combine like terms: 3n + 2n = 5n 7 + 5n = -16 + -2n + 2n Combine like terms: -2n + 2n = 0 7 + 5n = -16 + 0 7 + 5n = -16 Add '-7' to each side of the equation. 7 + -7 + 5n = -16 + -7 Combine like terms: 7 + -7 = 0 0 + 5n = -16 + -7 5n = -16 + -7 Combine like terms: -16 + -7 = -23 5n = -23 Divide each side by '5'. n = -4.6 Simplifying n = -4.6
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