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Simplifying -4 + -5.5(1 + 7n) = 25.5 -4 + (1 * -5.5 + 7n * -5.5) = 25.5 -4 + (-5.5 + -38.5n) = 25.5 Combine like terms: -4 + -5.5 = -9.5 -9.5 + -38.5n = 25.5 Solving -9.5 + -38.5n = 25.5 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9.5' to each side of the equation. -9.5 + 9.5 + -38.5n = 25.5 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + -38.5n = 25.5 + 9.5 -38.5n = 25.5 + 9.5 Combine like terms: 25.5 + 9.5 = 35 -38.5n = 35 Divide each side by '-38.5'. n = -0.9090909091 Simplifying n = -0.9090909091
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