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Simplifying -12.65 + -4.1n = -1.5(3n + 6.3) Reorder the terms: -12.65 + -4.1n = -1.5(6.3 + 3n) -12.65 + -4.1n = (6.3 * -1.5 + 3n * -1.5) -12.65 + -4.1n = (-9.45 + -4.5n) Solving -12.65 + -4.1n = -9.45 + -4.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4.5n' to each side of the equation. -12.65 + -4.1n + 4.5n = -9.45 + -4.5n + 4.5n Combine like terms: -4.1n + 4.5n = 0.4n -12.65 + 0.4n = -9.45 + -4.5n + 4.5n Combine like terms: -4.5n + 4.5n = 0.0 -12.65 + 0.4n = -9.45 + 0.0 -12.65 + 0.4n = -9.45 Add '12.65' to each side of the equation. -12.65 + 12.65 + 0.4n = -9.45 + 12.65 Combine like terms: -12.65 + 12.65 = 0.00 0.00 + 0.4n = -9.45 + 12.65 0.4n = -9.45 + 12.65 Combine like terms: -9.45 + 12.65 = 3.2 0.4n = 3.2 Divide each side by '0.4'. n = 8 Simplifying n = 8
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