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Simplifying -7(4n + 3) + 8n = -7n + 31 Reorder the terms: -7(3 + 4n) + 8n = -7n + 31 (3 * -7 + 4n * -7) + 8n = -7n + 31 (-21 + -28n) + 8n = -7n + 31 Combine like terms: -28n + 8n = -20n -21 + -20n = -7n + 31 Reorder the terms: -21 + -20n = 31 + -7n Solving -21 + -20n = 31 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -21 + -20n + 7n = 31 + -7n + 7n Combine like terms: -20n + 7n = -13n -21 + -13n = 31 + -7n + 7n Combine like terms: -7n + 7n = 0 -21 + -13n = 31 + 0 -21 + -13n = 31 Add '21' to each side of the equation. -21 + 21 + -13n = 31 + 21 Combine like terms: -21 + 21 = 0 0 + -13n = 31 + 21 -13n = 31 + 21 Combine like terms: 31 + 21 = 52 -13n = 52 Divide each side by '-13'. n = -4 Simplifying n = -4
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