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Simplifying n + -52 = -3.2(18 + n) Reorder the terms: -52 + n = -3.2(18 + n) -52 + n = (18 * -3.2 + n * -3.2) -52 + n = (-57.6 + -3.2n) Solving -52 + n = -57.6 + -3.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3.2n' to each side of the equation. -52 + n + 3.2n = -57.6 + -3.2n + 3.2n Combine like terms: n + 3.2n = 4.2n -52 + 4.2n = -57.6 + -3.2n + 3.2n Combine like terms: -3.2n + 3.2n = 0.0 -52 + 4.2n = -57.6 + 0.0 -52 + 4.2n = -57.6 Add '52' to each side of the equation. -52 + 52 + 4.2n = -57.6 + 52 Combine like terms: -52 + 52 = 0 0 + 4.2n = -57.6 + 52 4.2n = -57.6 + 52 Combine like terms: -57.6 + 52 = -5.6 4.2n = -5.6 Divide each side by '4.2'. n = -1.333333333 Simplifying n = -1.333333333
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