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Simplifying 7n + -1(3n + 4) = -2(2n + -1) + 10 Reorder the terms: 7n + -1(4 + 3n) = -2(2n + -1) + 10 7n + (4 * -1 + 3n * -1) = -2(2n + -1) + 10 7n + (-4 + -3n) = -2(2n + -1) + 10 Reorder the terms: -4 + 7n + -3n = -2(2n + -1) + 10 Combine like terms: 7n + -3n = 4n -4 + 4n = -2(2n + -1) + 10 Reorder the terms: -4 + 4n = -2(-1 + 2n) + 10 -4 + 4n = (-1 * -2 + 2n * -2) + 10 -4 + 4n = (2 + -4n) + 10 Reorder the terms: -4 + 4n = 2 + 10 + -4n Combine like terms: 2 + 10 = 12 -4 + 4n = 12 + -4n Solving -4 + 4n = 12 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -4 + 4n + 4n = 12 + -4n + 4n Combine like terms: 4n + 4n = 8n -4 + 8n = 12 + -4n + 4n Combine like terms: -4n + 4n = 0 -4 + 8n = 12 + 0 -4 + 8n = 12 Add '4' to each side of the equation. -4 + 4 + 8n = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8n = 12 + 4 8n = 12 + 4 Combine like terms: 12 + 4 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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