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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 = -0.5n -52 + -0.5n = 27 + 1.5n + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 -52 + -0.5n = 27 + 0.0 -52 + -0.5n = 27 Add '52' to each side of the equation. -52 + 52 + -0.5n = 27 + 52 Combine like terms: -52 + 52 = 0 0 + -0.5n = 27 + 52 -0.5n = 27 + 52 Combine like terms: 27 + 52 = 79 -0.5n = 79 Divide each side by '-0.5'. n = -158 Simplifying n = -158
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