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Simplifying -3(n + -1) + 8(n + -3) = 6n + 7 + -5n Reorder the terms: -3(-1 + n) + 8(n + -3) = 6n + 7 + -5n (-1 * -3 + n * -3) + 8(n + -3) = 6n + 7 + -5n (3 + -3n) + 8(n + -3) = 6n + 7 + -5n Reorder the terms: 3 + -3n + 8(-3 + n) = 6n + 7 + -5n 3 + -3n + (-3 * 8 + n * 8) = 6n + 7 + -5n 3 + -3n + (-24 + 8n) = 6n + 7 + -5n Reorder the terms: 3 + -24 + -3n + 8n = 6n + 7 + -5n Combine like terms: 3 + -24 = -21 -21 + -3n + 8n = 6n + 7 + -5n Combine like terms: -3n + 8n = 5n -21 + 5n = 6n + 7 + -5n Reorder the terms: -21 + 5n = 7 + 6n + -5n Combine like terms: 6n + -5n = 1n -21 + 5n = 7 + 1n Solving -21 + 5n = 7 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -21 + 5n + -1n = 7 + 1n + -1n Combine like terms: 5n + -1n = 4n -21 + 4n = 7 + 1n + -1n Combine like terms: 1n + -1n = 0 -21 + 4n = 7 + 0 -21 + 4n = 7 Add '21' to each side of the equation. -21 + 21 + 4n = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 4n = 7 + 21 4n = 7 + 21 Combine like terms: 7 + 21 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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