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Simplifying -10(5n + 9) + 10(0.16n + -1) = -5n + 8 Reorder the terms: -10(9 + 5n) + 10(0.16n + -1) = -5n + 8 (9 * -10 + 5n * -10) + 10(0.16n + -1) = -5n + 8 (-90 + -50n) + 10(0.16n + -1) = -5n + 8 Reorder the terms: -90 + -50n + 10(-1 + 0.16n) = -5n + 8 -90 + -50n + (-1 * 10 + 0.16n * 10) = -5n + 8 -90 + -50n + (-10 + 1.6n) = -5n + 8 Reorder the terms: -90 + -10 + -50n + 1.6n = -5n + 8 Combine like terms: -90 + -10 = -100 -100 + -50n + 1.6n = -5n + 8 Combine like terms: -50n + 1.6n = -48.4n -100 + -48.4n = -5n + 8 Reorder the terms: -100 + -48.4n = 8 + -5n Solving -100 + -48.4n = 8 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -100 + -48.4n + 5n = 8 + -5n + 5n Combine like terms: -48.4n + 5n = -43.4n -100 + -43.4n = 8 + -5n + 5n Combine like terms: -5n + 5n = 0 -100 + -43.4n = 8 + 0 -100 + -43.4n = 8 Add '100' to each side of the equation. -100 + 100 + -43.4n = 8 + 100 Combine like terms: -100 + 100 = 0 0 + -43.4n = 8 + 100 -43.4n = 8 + 100 Combine like terms: 8 + 100 = 108 -43.4n = 108 Divide each side by '-43.4'. n = -2.488479263 Simplifying n = -2.488479263
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