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Simplifying 7(n + -3) = 2(6n + 8) + 8 Reorder the terms: 7(-3 + n) = 2(6n + 8) + 8 (-3 * 7 + n * 7) = 2(6n + 8) + 8 (-21 + 7n) = 2(6n + 8) + 8 Reorder the terms: -21 + 7n = 2(8 + 6n) + 8 -21 + 7n = (8 * 2 + 6n * 2) + 8 -21 + 7n = (16 + 12n) + 8 Reorder the terms: -21 + 7n = 16 + 8 + 12n Combine like terms: 16 + 8 = 24 -21 + 7n = 24 + 12n Solving -21 + 7n = 24 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -21 + 7n + -12n = 24 + 12n + -12n Combine like terms: 7n + -12n = -5n -21 + -5n = 24 + 12n + -12n Combine like terms: 12n + -12n = 0 -21 + -5n = 24 + 0 -21 + -5n = 24 Add '21' to each side of the equation. -21 + 21 + -5n = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -5n = 24 + 21 -5n = 24 + 21 Combine like terms: 24 + 21 = 45 -5n = 45 Divide each side by '-5'. n = -9 Simplifying n = -9
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