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Simplifying 4(2n + -3) = (6n + 3) + 4 Reorder the terms: 4(-3 + 2n) = (6n + 3) + 4 (-3 * 4 + 2n * 4) = (6n + 3) + 4 (-12 + 8n) = (6n + 3) + 4 Reorder the terms: -12 + 8n = (3 + 6n) + 4 Remove parenthesis around (3 + 6n) -12 + 8n = 3 + 6n + 4 Reorder the terms: -12 + 8n = 3 + 4 + 6n Combine like terms: 3 + 4 = 7 -12 + 8n = 7 + 6n Solving -12 + 8n = 7 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -12 + 8n + -6n = 7 + 6n + -6n Combine like terms: 8n + -6n = 2n -12 + 2n = 7 + 6n + -6n Combine like terms: 6n + -6n = 0 -12 + 2n = 7 + 0 -12 + 2n = 7 Add '12' to each side of the equation. -12 + 12 + 2n = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 2n = 7 + 12 2n = 7 + 12 Combine like terms: 7 + 12 = 19 2n = 19 Divide each side by '2'. n = 9.5 Simplifying n = 9.5
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