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Simplifying 0.5(n + -18) = -0.5(n + -1.5) Reorder the terms: 0.5(-18 + n) = -0.5(n + -1.5) (-18 * 0.5 + n * 0.5) = -0.5(n + -1.5) (-9 + 0.5n) = -0.5(n + -1.5) Reorder the terms: -9 + 0.5n = -0.5(-1.5 + n) -9 + 0.5n = (-1.5 * -0.5 + n * -0.5) -9 + 0.5n = (0.75 + -0.5n) Solving -9 + 0.5n = 0.75 + -0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.5n' to each side of the equation. -9 + 0.5n + 0.5n = 0.75 + -0.5n + 0.5n Combine like terms: 0.5n + 0.5n = 1n -9 + 1n = 0.75 + -0.5n + 0.5n Combine like terms: -0.5n + 0.5n = 0.0 -9 + 1n = 0.75 + 0.0 -9 + 1n = 0.75 Add '9' to each side of the equation. -9 + 9 + 1n = 0.75 + 9 Combine like terms: -9 + 9 = 0 0 + 1n = 0.75 + 9 1n = 0.75 + 9 Combine like terms: 0.75 + 9 = 9.75 1n = 9.75 Divide each side by '1'. n = 9.75 Simplifying n = 9.75
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