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Simplifying -10.7 + 16.6n = 8.47 + -17.24 + 16.7n Combine like terms: 8.47 + -17.24 = -8.77 -10.7 + 16.6n = -8.77 + 16.7n Solving -10.7 + 16.6n = -8.77 + 16.7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16.7n' to each side of the equation. -10.7 + 16.6n + -16.7n = -8.77 + 16.7n + -16.7n Combine like terms: 16.6n + -16.7n = -0.1n -10.7 + -0.1n = -8.77 + 16.7n + -16.7n Combine like terms: 16.7n + -16.7n = 0.0 -10.7 + -0.1n = -8.77 + 0.0 -10.7 + -0.1n = -8.77 Add '10.7' to each side of the equation. -10.7 + 10.7 + -0.1n = -8.77 + 10.7 Combine like terms: -10.7 + 10.7 = 0.0 0.0 + -0.1n = -8.77 + 10.7 -0.1n = -8.77 + 10.7 Combine like terms: -8.77 + 10.7 = 1.93 -0.1n = 1.93 Divide each side by '-0.1'. n = -19.3 Simplifying n = -19.3
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