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Simplifying 4(2n + -3) = (3n + 1) + 5 Reorder the terms: 4(-3 + 2n) = (3n + 1) + 5 (-3 * 4 + 2n * 4) = (3n + 1) + 5 (-12 + 8n) = (3n + 1) + 5 Reorder the terms: -12 + 8n = (1 + 3n) + 5 Remove parenthesis around (1 + 3n) -12 + 8n = 1 + 3n + 5 Reorder the terms: -12 + 8n = 1 + 5 + 3n Combine like terms: 1 + 5 = 6 -12 + 8n = 6 + 3n Solving -12 + 8n = 6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -12 + 8n + -3n = 6 + 3n + -3n Combine like terms: 8n + -3n = 5n -12 + 5n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + 5n = 6 + 0 -12 + 5n = 6 Add '12' to each side of the equation. -12 + 12 + 5n = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 5n = 6 + 12 5n = 6 + 12 Combine like terms: 6 + 12 = 18 5n = 18 Divide each side by '5'. n = 3.6 Simplifying n = 3.6
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