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Simplifying -10(-1n + 3) + 2n = 2(7 + 4n) Reorder the terms: -10(3 + -1n) + 2n = 2(7 + 4n) (3 * -10 + -1n * -10) + 2n = 2(7 + 4n) (-30 + 10n) + 2n = 2(7 + 4n) Combine like terms: 10n + 2n = 12n -30 + 12n = 2(7 + 4n) -30 + 12n = (7 * 2 + 4n * 2) -30 + 12n = (14 + 8n) Solving -30 + 12n = 14 + 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. -30 + 12n + -8n = 14 + 8n + -8n Combine like terms: 12n + -8n = 4n -30 + 4n = 14 + 8n + -8n Combine like terms: 8n + -8n = 0 -30 + 4n = 14 + 0 -30 + 4n = 14 Add '30' to each side of the equation. -30 + 30 + 4n = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 4n = 14 + 30 4n = 14 + 30 Combine like terms: 14 + 30 = 44 4n = 44 Divide each side by '4'. n = 11 Simplifying n = 11
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