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Simplifying 3(5n + -6) + 7n = 114 Reorder the terms: 3(-6 + 5n) + 7n = 114 (-6 * 3 + 5n * 3) + 7n = 114 (-18 + 15n) + 7n = 114 Combine like terms: 15n + 7n = 22n -18 + 22n = 114 Solving -18 + 22n = 114 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 22n = 114 + 18 Combine like terms: -18 + 18 = 0 0 + 22n = 114 + 18 22n = 114 + 18 Combine like terms: 114 + 18 = 132 22n = 132 Divide each side by '22'. n = 6 Simplifying n = 6
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