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Simplifying -36 + 7n = 6(n + 7) Reorder the terms: -36 + 7n = 6(7 + n) -36 + 7n = (7 * 6 + n * 6) -36 + 7n = (42 + 6n) Solving -36 + 7n = 42 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -36 + 7n + -6n = 42 + 6n + -6n Combine like terms: 7n + -6n = 1n -36 + 1n = 42 + 6n + -6n Combine like terms: 6n + -6n = 0 -36 + 1n = 42 + 0 -36 + 1n = 42 Add '36' to each side of the equation. -36 + 36 + 1n = 42 + 36 Combine like terms: -36 + 36 = 0 0 + 1n = 42 + 36 1n = 42 + 36 Combine like terms: 42 + 36 = 78 1n = 78 Divide each side by '1'. n = 78 Simplifying n = 78
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