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Simplifying n + -1.5n + 3 = -5.5(n + -6) Reorder the terms: 3 + n + -1.5n = -5.5(n + -6) Combine like terms: n + -1.5n = -0.5n 3 + -0.5n = -5.5(n + -6) Reorder the terms: 3 + -0.5n = -5.5(-6 + n) 3 + -0.5n = (-6 * -5.5 + n * -5.5) 3 + -0.5n = (33 + -5.5n) Solving 3 + -0.5n = 33 + -5.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5.5n' to each side of the equation. 3 + -0.5n + 5.5n = 33 + -5.5n + 5.5n Combine like terms: -0.5n + 5.5n = 5n 3 + 5n = 33 + -5.5n + 5.5n Combine like terms: -5.5n + 5.5n = 0.0 3 + 5n = 33 + 0.0 3 + 5n = 33 Add '-3' to each side of the equation. 3 + -3 + 5n = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 5n = 33 + -3 5n = 33 + -3 Combine like terms: 33 + -3 = 30 5n = 30 Divide each side by '5'. n = 6 Simplifying n = 6
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