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Simplifying 7(2n + -3) = (8n + 4) + 1 Reorder the terms: 7(-3 + 2n) = (8n + 4) + 1 (-3 * 7 + 2n * 7) = (8n + 4) + 1 (-21 + 14n) = (8n + 4) + 1 Reorder the terms: -21 + 14n = (4 + 8n) + 1 Remove parenthesis around (4 + 8n) -21 + 14n = 4 + 8n + 1 Reorder the terms: -21 + 14n = 4 + 1 + 8n Combine like terms: 4 + 1 = 5 -21 + 14n = 5 + 8n Solving -21 + 14n = 5 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -21 + 14n + -8n = 5 + 8n + -8n Combine like terms: 14n + -8n = 6n -21 + 6n = 5 + 8n + -8n Combine like terms: 8n + -8n = 0 -21 + 6n = 5 + 0 -21 + 6n = 5 Add '21' to each side of the equation. -21 + 21 + 6n = 5 + 21 Combine like terms: -21 + 21 = 0 0 + 6n = 5 + 21 6n = 5 + 21 Combine like terms: 5 + 21 = 26 6n = 26 Divide each side by '6'. n = 4.333333333 Simplifying n = 4.333333333
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