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Simplifying 2(3n + -5) = (8n + 9) + 7 Reorder the terms: 2(-5 + 3n) = (8n + 9) + 7 (-5 * 2 + 3n * 2) = (8n + 9) + 7 (-10 + 6n) = (8n + 9) + 7 Reorder the terms: -10 + 6n = (9 + 8n) + 7 Remove parenthesis around (9 + 8n) -10 + 6n = 9 + 8n + 7 Reorder the terms: -10 + 6n = 9 + 7 + 8n Combine like terms: 9 + 7 = 16 -10 + 6n = 16 + 8n Solving -10 + 6n = 16 + 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. -10 + 6n + -8n = 16 + 8n + -8n Combine like terms: 6n + -8n = -2n -10 + -2n = 16 + 8n + -8n Combine like terms: 8n + -8n = 0 -10 + -2n = 16 + 0 -10 + -2n = 16 Add '10' to each side of the equation. -10 + 10 + -2n = 16 + 10 Combine like terms: -10 + 10 = 0 0 + -2n = 16 + 10 -2n = 16 + 10 Combine like terms: 16 + 10 = 26 -2n = 26 Divide each side by '-2'. n = -13 Simplifying n = -13
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