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Simplifying 0.5(-3) = 5n + -12 + -1n Multiply 0.5 * -3 -1.5 = 5n + -12 + -1n Reorder the terms: -1.5 = -12 + 5n + -1n Combine like terms: 5n + -1n = 4n -1.5 = -12 + 4n Solving -1.5 = -12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -1.5 + -4n = -12 + 4n + -4n Combine like terms: 4n + -4n = 0 -1.5 + -4n = -12 + 0 -1.5 + -4n = -12 Add '1.5' to each side of the equation. -1.5 + 1.5 + -4n = -12 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -4n = -12 + 1.5 -4n = -12 + 1.5 Combine like terms: -12 + 1.5 = -10.5 -4n = -10.5 Divide each side by '-4'. n = 2.625 Simplifying n = 2.625
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