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Simplifying 7(n + 8) = 12n + 51 Reorder the terms: 7(8 + n) = 12n + 51 (8 * 7 + n * 7) = 12n + 51 (56 + 7n) = 12n + 51 Reorder the terms: 56 + 7n = 51 + 12n Solving 56 + 7n = 51 + 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. 56 + 7n + -12n = 51 + 12n + -12n Combine like terms: 7n + -12n = -5n 56 + -5n = 51 + 12n + -12n Combine like terms: 12n + -12n = 0 56 + -5n = 51 + 0 56 + -5n = 51 Add '-56' to each side of the equation. 56 + -56 + -5n = 51 + -56 Combine like terms: 56 + -56 = 0 0 + -5n = 51 + -56 -5n = 51 + -56 Combine like terms: 51 + -56 = -5 -5n = -5 Divide each side by '-5'. n = 1 Simplifying n = 1
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