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Simplifying 3(1.5 + -6.3) + 0.5n = 4(n + 1.1) Combine like terms: 1.5 + -6.3 = -4.8 3(-4.8) + 0.5n = 4(n + 1.1) Multiply 3 * -4.8 -14.4 + 0.5n = 4(n + 1.1) Reorder the terms: -14.4 + 0.5n = 4(1.1 + n) -14.4 + 0.5n = (1.1 * 4 + n * 4) -14.4 + 0.5n = (4.4 + 4n) Solving -14.4 + 0.5n = 4.4 + 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. -14.4 + 0.5n + -4n = 4.4 + 4n + -4n Combine like terms: 0.5n + -4n = -3.5n -14.4 + -3.5n = 4.4 + 4n + -4n Combine like terms: 4n + -4n = 0 -14.4 + -3.5n = 4.4 + 0 -14.4 + -3.5n = 4.4 Add '14.4' to each side of the equation. -14.4 + 14.4 + -3.5n = 4.4 + 14.4 Combine like terms: -14.4 + 14.4 = 0.0 0.0 + -3.5n = 4.4 + 14.4 -3.5n = 4.4 + 14.4 Combine like terms: 4.4 + 14.4 = 18.8 -3.5n = 18.8 Divide each side by '-3.5'. n = -5.371428571 Simplifying n = -5.371428571
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