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Simplifying 5n + -3(n + 4) + 7 = 3 + -4(2n + -1) + -6n Reorder the terms: 5n + -3(4 + n) + 7 = 3 + -4(2n + -1) + -6n 5n + (4 * -3 + n * -3) + 7 = 3 + -4(2n + -1) + -6n 5n + (-12 + -3n) + 7 = 3 + -4(2n + -1) + -6n Reorder the terms: -12 + 7 + 5n + -3n = 3 + -4(2n + -1) + -6n Combine like terms: -12 + 7 = -5 -5 + 5n + -3n = 3 + -4(2n + -1) + -6n Combine like terms: 5n + -3n = 2n -5 + 2n = 3 + -4(2n + -1) + -6n Reorder the terms: -5 + 2n = 3 + -4(-1 + 2n) + -6n -5 + 2n = 3 + (-1 * -4 + 2n * -4) + -6n -5 + 2n = 3 + (4 + -8n) + -6n Combine like terms: 3 + 4 = 7 -5 + 2n = 7 + -8n + -6n Combine like terms: -8n + -6n = -14n -5 + 2n = 7 + -14n Solving -5 + 2n = 7 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -5 + 2n + 14n = 7 + -14n + 14n Combine like terms: 2n + 14n = 16n -5 + 16n = 7 + -14n + 14n Combine like terms: -14n + 14n = 0 -5 + 16n = 7 + 0 -5 + 16n = 7 Add '5' to each side of the equation. -5 + 5 + 16n = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 16n = 7 + 5 16n = 7 + 5 Combine like terms: 7 + 5 = 12 16n = 12 Divide each side by '16'. n = 0.75 Simplifying n = 0.75
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