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Simplifying 3(n + -7) = -2(n + -1) + 2 Reorder the terms: 3(-7 + n) = -2(n + -1) + 2 (-7 * 3 + n * 3) = -2(n + -1) + 2 (-21 + 3n) = -2(n + -1) + 2 Reorder the terms: -21 + 3n = -2(-1 + n) + 2 -21 + 3n = (-1 * -2 + n * -2) + 2 -21 + 3n = (2 + -2n) + 2 Reorder the terms: -21 + 3n = 2 + 2 + -2n Combine like terms: 2 + 2 = 4 -21 + 3n = 4 + -2n Solving -21 + 3n = 4 + -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 = 4 + -2n + 2n Combine like terms: 3n + 2n = 5n -21 + 5n = 4 + -2n + 2n Combine like terms: -2n + 2n = 0 -21 + 5n = 4 + 0 -21 + 5n = 4 Add '21' to each side of the equation. -21 + 21 + 5n = 4 + 21 Combine like terms: -21 + 21 = 0 0 + 5n = 4 + 21 5n = 4 + 21 Combine like terms: 4 + 21 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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