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Simplifying -3(n + 7) = 1 + -2n Reorder the terms: -3(7 + n) = 1 + -2n (7 * -3 + n * -3) = 1 + -2n (-21 + -3n) = 1 + -2n Solving -21 + -3n = 1 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -21 + -3n + 2n = 1 + -2n + 2n Combine like terms: -3n + 2n = -1n -21 + -1n = 1 + -2n + 2n Combine like terms: -2n + 2n = 0 -21 + -1n = 1 + 0 -21 + -1n = 1 Add '21' to each side of the equation. -21 + 21 + -1n = 1 + 21 Combine like terms: -21 + 21 = 0 0 + -1n = 1 + 21 -1n = 1 + 21 Combine like terms: 1 + 21 = 22 -1n = 22 Divide each side by '-1'. n = -22 Simplifying n = -22
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