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Simplifying 5(3n + -5) = (7n + 3) + 6 Reorder the terms: 5(-5 + 3n) = (7n + 3) + 6 (-5 * 5 + 3n * 5) = (7n + 3) + 6 (-25 + 15n) = (7n + 3) + 6 Reorder the terms: -25 + 15n = (3 + 7n) + 6 Remove parenthesis around (3 + 7n) -25 + 15n = 3 + 7n + 6 Reorder the terms: -25 + 15n = 3 + 6 + 7n Combine like terms: 3 + 6 = 9 -25 + 15n = 9 + 7n Solving -25 + 15n = 9 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -25 + 15n + -7n = 9 + 7n + -7n Combine like terms: 15n + -7n = 8n -25 + 8n = 9 + 7n + -7n Combine like terms: 7n + -7n = 0 -25 + 8n = 9 + 0 -25 + 8n = 9 Add '25' to each side of the equation. -25 + 25 + 8n = 9 + 25 Combine like terms: -25 + 25 = 0 0 + 8n = 9 + 25 8n = 9 + 25 Combine like terms: 9 + 25 = 34 8n = 34 Divide each side by '8'. n = 4.25 Simplifying n = 4.25
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