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Simplifying 4(2n + -3) = (5n + 4) + 3 Reorder the terms: 4(-3 + 2n) = (5n + 4) + 3 (-3 * 4 + 2n * 4) = (5n + 4) + 3 (-12 + 8n) = (5n + 4) + 3 Reorder the terms: -12 + 8n = (4 + 5n) + 3 Remove parenthesis around (4 + 5n) -12 + 8n = 4 + 5n + 3 Reorder the terms: -12 + 8n = 4 + 3 + 5n Combine like terms: 4 + 3 = 7 -12 + 8n = 7 + 5n Solving -12 + 8n = 7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -12 + 8n + -5n = 7 + 5n + -5n Combine like terms: 8n + -5n = 3n -12 + 3n = 7 + 5n + -5n Combine like terms: 5n + -5n = 0 -12 + 3n = 7 + 0 -12 + 3n = 7 Add '12' to each side of the equation. -12 + 12 + 3n = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 3n = 7 + 12 3n = 7 + 12 Combine like terms: 7 + 12 = 19 3n = 19 Divide each side by '3'. n = 6.333333333 Simplifying n = 6.333333333
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