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Simplifying -3 + 0.5n = 0.5(-1n + 14) Reorder the terms: -3 + 0.5n = 0.5(14 + -1n) -3 + 0.5n = (14 * 0.5 + -1n * 0.5) -3 + 0.5n = (7 + -0.5n) Solving -3 + 0.5n = 7 + -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. -3 + 0.5n + 0.5n = 7 + -0.5n + 0.5n Combine like terms: 0.5n + 0.5n = 1n -3 + 1n = 7 + -0.5n + 0.5n Combine like terms: -0.5n + 0.5n = 0.0 -3 + 1n = 7 + 0.0 -3 + 1n = 7 Add '3' to each side of the equation. -3 + 3 + 1n = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 1n = 7 + 3 1n = 7 + 3 Combine like terms: 7 + 3 = 10 1n = 10 Divide each side by '1'. n = 10 Simplifying n = 10
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