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Simplifying 14 + 3n = 8n + -33(n + -4) Reorder the terms: 14 + 3n = 8n + -33(-4 + n) 14 + 3n = 8n + (-4 * -33 + n * -33) 14 + 3n = 8n + (132 + -33n) Reorder the terms: 14 + 3n = 132 + 8n + -33n Combine like terms: 8n + -33n = -25n 14 + 3n = 132 + -25n Solving 14 + 3n = 132 + -25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25n' to each side of the equation. 14 + 3n + 25n = 132 + -25n + 25n Combine like terms: 3n + 25n = 28n 14 + 28n = 132 + -25n + 25n Combine like terms: -25n + 25n = 0 14 + 28n = 132 + 0 14 + 28n = 132 Add '-14' to each side of the equation. 14 + -14 + 28n = 132 + -14 Combine like terms: 14 + -14 = 0 0 + 28n = 132 + -14 28n = 132 + -14 Combine like terms: 132 + -14 = 118 28n = 118 Divide each side by '28'. n = 4.214285714 Simplifying n = 4.214285714
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