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Simplifying 5n + -3(n + -6) = 4 + 3n Reorder the terms: 5n + -3(-6 + n) = 4 + 3n 5n + (-6 * -3 + n * -3) = 4 + 3n 5n + (18 + -3n) = 4 + 3n Reorder the terms: 18 + 5n + -3n = 4 + 3n Combine like terms: 5n + -3n = 2n 18 + 2n = 4 + 3n Solving 18 + 2n = 4 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 18 + 2n + -3n = 4 + 3n + -3n Combine like terms: 2n + -3n = -1n 18 + -1n = 4 + 3n + -3n Combine like terms: 3n + -3n = 0 18 + -1n = 4 + 0 18 + -1n = 4 Add '-18' to each side of the equation. 18 + -18 + -1n = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -1n = 4 + -18 -1n = 4 + -18 Combine like terms: 4 + -18 = -14 -1n = -14 Divide each side by '-1'. n = 14 Simplifying n = 14
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