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Simplifying 3 + 8(n + -1) = n + 23 Reorder the terms: 3 + 8(-1 + n) = n + 23 3 + (-1 * 8 + n * 8) = n + 23 3 + (-8 + 8n) = n + 23 Combine like terms: 3 + -8 = -5 -5 + 8n = n + 23 Reorder the terms: -5 + 8n = 23 + n Solving -5 + 8n = 23 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -5 + 8n + -1n = 23 + n + -1n Combine like terms: 8n + -1n = 7n -5 + 7n = 23 + n + -1n Combine like terms: n + -1n = 0 -5 + 7n = 23 + 0 -5 + 7n = 23 Add '5' to each side of the equation. -5 + 5 + 7n = 23 + 5 Combine like terms: -5 + 5 = 0 0 + 7n = 23 + 5 7n = 23 + 5 Combine like terms: 23 + 5 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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