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Simplifying -3(n + -7) + 3(n + -8) = n + -3 + 8 + n Reorder the terms: -3(-7 + n) + 3(n + -8) = n + -3 + 8 + n (-7 * -3 + n * -3) + 3(n + -8) = n + -3 + 8 + n (21 + -3n) + 3(n + -8) = n + -3 + 8 + n Reorder the terms: 21 + -3n + 3(-8 + n) = n + -3 + 8 + n 21 + -3n + (-8 * 3 + n * 3) = n + -3 + 8 + n 21 + -3n + (-24 + 3n) = n + -3 + 8 + n Reorder the terms: 21 + -24 + -3n + 3n = n + -3 + 8 + n Combine like terms: 21 + -24 = -3 -3 + -3n + 3n = n + -3 + 8 + n Combine like terms: -3n + 3n = 0 -3 + 0 = n + -3 + 8 + n -3 = n + -3 + 8 + n Reorder the terms: -3 = -3 + 8 + n + n Combine like terms: -3 + 8 = 5 -3 = 5 + n + n Combine like terms: n + n = 2n -3 = 5 + 2n Solving -3 = 5 + 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. -3 + -2n = 5 + 2n + -2n Combine like terms: 2n + -2n = 0 -3 + -2n = 5 + 0 -3 + -2n = 5 Add '3' to each side of the equation. -3 + 3 + -2n = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -2n = 5 + 3 -2n = 5 + 3 Combine like terms: 5 + 3 = 8 -2n = 8 Divide each side by '-2'. n = -4 Simplifying n = -4
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