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Simplifying 5n + 3(n + -7) = -1(n + 8) Reorder the terms: 5n + 3(-7 + n) = -1(n + 8) 5n + (-7 * 3 + n * 3) = -1(n + 8) 5n + (-21 + 3n) = -1(n + 8) Reorder the terms: -21 + 5n + 3n = -1(n + 8) Combine like terms: 5n + 3n = 8n -21 + 8n = -1(n + 8) Reorder the terms: -21 + 8n = -1(8 + n) -21 + 8n = (8 * -1 + n * -1) -21 + 8n = (-8 + -1n) Solving -21 + 8n = -8 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -21 + 8n + n = -8 + -1n + n Combine like terms: 8n + n = 9n -21 + 9n = -8 + -1n + n Combine like terms: -1n + n = 0 -21 + 9n = -8 + 0 -21 + 9n = -8 Add '21' to each side of the equation. -21 + 21 + 9n = -8 + 21 Combine like terms: -21 + 21 = 0 0 + 9n = -8 + 21 9n = -8 + 21 Combine like terms: -8 + 21 = 13 9n = 13 Divide each side by '9'. n = 1.444444444 Simplifying n = 1.444444444
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