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Simplifying 7(2 + 4n) + 7(-8n + -7) = 21 (2 * 7 + 4n * 7) + 7(-8n + -7) = 21 (14 + 28n) + 7(-8n + -7) = 21 Reorder the terms: 14 + 28n + 7(-7 + -8n) = 21 14 + 28n + (-7 * 7 + -8n * 7) = 21 14 + 28n + (-49 + -56n) = 21 Reorder the terms: 14 + -49 + 28n + -56n = 21 Combine like terms: 14 + -49 = -35 -35 + 28n + -56n = 21 Combine like terms: 28n + -56n = -28n -35 + -28n = 21 Solving -35 + -28n = 21 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -28n = 21 + 35 Combine like terms: -35 + 35 = 0 0 + -28n = 21 + 35 -28n = 21 + 35 Combine like terms: 21 + 35 = 56 -28n = 56 Divide each side by '-28'. n = -2 Simplifying n = -2
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