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Simplifying 24 + -7n = -3(8n + 1) + -7 Reorder the terms: 24 + -7n = -3(1 + 8n) + -7 24 + -7n = (1 * -3 + 8n * -3) + -7 24 + -7n = (-3 + -24n) + -7 Reorder the terms: 24 + -7n = -3 + -7 + -24n Combine like terms: -3 + -7 = -10 24 + -7n = -10 + -24n Solving 24 + -7n = -10 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 24 + -7n + 24n = -10 + -24n + 24n Combine like terms: -7n + 24n = 17n 24 + 17n = -10 + -24n + 24n Combine like terms: -24n + 24n = 0 24 + 17n = -10 + 0 24 + 17n = -10 Add '-24' to each side of the equation. 24 + -24 + 17n = -10 + -24 Combine like terms: 24 + -24 = 0 0 + 17n = -10 + -24 17n = -10 + -24 Combine like terms: -10 + -24 = -34 17n = -34 Divide each side by '17'. n = -2 Simplifying n = -2
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