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Simplifying 2(2n + -3) = (8n + 6) + 7 Reorder the terms: 2(-3 + 2n) = (8n + 6) + 7 (-3 * 2 + 2n * 2) = (8n + 6) + 7 (-6 + 4n) = (8n + 6) + 7 Reorder the terms: -6 + 4n = (6 + 8n) + 7 Remove parenthesis around (6 + 8n) -6 + 4n = 6 + 8n + 7 Reorder the terms: -6 + 4n = 6 + 7 + 8n Combine like terms: 6 + 7 = 13 -6 + 4n = 13 + 8n Solving -6 + 4n = 13 + 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. -6 + 4n + -8n = 13 + 8n + -8n Combine like terms: 4n + -8n = -4n -6 + -4n = 13 + 8n + -8n Combine like terms: 8n + -8n = 0 -6 + -4n = 13 + 0 -6 + -4n = 13 Add '6' to each side of the equation. -6 + 6 + -4n = 13 + 6 Combine like terms: -6 + 6 = 0 0 + -4n = 13 + 6 -4n = 13 + 6 Combine like terms: 13 + 6 = 19 -4n = 19 Divide each side by '-4'. n = -4.75 Simplifying n = -4.75
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