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Simplifying -1n + -21 = 8 + -3(n + 7) Reorder the terms: -21 + -1n = 8 + -3(n + 7) Reorder the terms: -21 + -1n = 8 + -3(7 + n) -21 + -1n = 8 + (7 * -3 + n * -3) -21 + -1n = 8 + (-21 + -3n) Combine like terms: 8 + -21 = -13 -21 + -1n = -13 + -3n Solving -21 + -1n = -13 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -21 + -1n + 3n = -13 + -3n + 3n Combine like terms: -1n + 3n = 2n -21 + 2n = -13 + -3n + 3n Combine like terms: -3n + 3n = 0 -21 + 2n = -13 + 0 -21 + 2n = -13 Add '21' to each side of the equation. -21 + 21 + 2n = -13 + 21 Combine like terms: -21 + 21 = 0 0 + 2n = -13 + 21 2n = -13 + 21 Combine like terms: -13 + 21 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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