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Simplifying 15n + 6 + -18n = 5n + 2 + -7n Reorder the terms: 6 + 15n + -18n = 5n + 2 + -7n Combine like terms: 15n + -18n = -3n 6 + -3n = 5n + 2 + -7n Reorder the terms: 6 + -3n = 2 + 5n + -7n Combine like terms: 5n + -7n = -2n 6 + -3n = 2 + -2n Solving 6 + -3n = 2 + -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. 6 + -3n + 2n = 2 + -2n + 2n Combine like terms: -3n + 2n = -1n 6 + -1n = 2 + -2n + 2n Combine like terms: -2n + 2n = 0 6 + -1n = 2 + 0 6 + -1n = 2 Add '-6' to each side of the equation. 6 + -6 + -1n = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = 2 + -6 -1n = 2 + -6 Combine like terms: 2 + -6 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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