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Simplifying n + -52 = -1.5(18 + n) Reorder the terms: -52 + n = -1.5(18 + n) -52 + n = (18 * -1.5 + n * -1.5) -52 + n = (-27 + -1.5n) Solving -52 + n = -27 + -1.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1.5n' to each side of the equation. -52 + n + 1.5n = -27 + -1.5n + 1.5n Combine like terms: n + 1.5n = 2.5n -52 + 2.5n = -27 + -1.5n + 1.5n Combine like terms: -1.5n + 1.5n = 0.0 -52 + 2.5n = -27 + 0.0 -52 + 2.5n = -27 Add '52' to each side of the equation. -52 + 52 + 2.5n = -27 + 52 Combine like terms: -52 + 52 = 0 0 + 2.5n = -27 + 52 2.5n = -27 + 52 Combine like terms: -27 + 52 = 25 2.5n = 25 Divide each side by '2.5'. n = 10 Simplifying n = 10
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