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Simplifying -72.315 = 4.5(-4.8 + 2.9n) + 5.4 -72.315 = (-4.8 * 4.5 + 2.9n * 4.5) + 5.4 -72.315 = (-21.6 + 13.05n) + 5.4 Reorder the terms: -72.315 = -21.6 + 5.4 + 13.05n Combine like terms: -21.6 + 5.4 = -16.2 -72.315 = -16.2 + 13.05n Solving -72.315 = -16.2 + 13.05n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13.05n' to each side of the equation. -72.315 + -13.05n = -16.2 + 13.05n + -13.05n Combine like terms: 13.05n + -13.05n = 0.00 -72.315 + -13.05n = -16.2 + 0.00 -72.315 + -13.05n = -16.2 Add '72.315' to each side of the equation. -72.315 + 72.315 + -13.05n = -16.2 + 72.315 Combine like terms: -72.315 + 72.315 = 0.000 0.000 + -13.05n = -16.2 + 72.315 -13.05n = -16.2 + 72.315 Combine like terms: -16.2 + 72.315 = 56.115 -13.05n = 56.115 Divide each side by '-13.05'. n = -4.3 Simplifying n = -4.3
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