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Simplifying -16.5 = -8 + 4(n + -6) Reorder the terms: -16.5 = -8 + 4(-6 + n) -16.5 = -8 + (-6 * 4 + n * 4) -16.5 = -8 + (-24 + 4n) Combine like terms: -8 + -24 = -32 -16.5 = -32 + 4n Solving -16.5 = -32 + 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. -16.5 + -4n = -32 + 4n + -4n Combine like terms: 4n + -4n = 0 -16.5 + -4n = -32 + 0 -16.5 + -4n = -32 Add '16.5' to each side of the equation. -16.5 + 16.5 + -4n = -32 + 16.5 Combine like terms: -16.5 + 16.5 = 0.0 0.0 + -4n = -32 + 16.5 -4n = -32 + 16.5 Combine like terms: -32 + 16.5 = -15.5 -4n = -15.5 Divide each side by '-4'. n = 3.875 Simplifying n = 3.875
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