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Simplifying 0.7n + -150 + 10n = 20n + -80 + -4n Reorder the terms: -150 + 0.7n + 10n = 20n + -80 + -4n Combine like terms: 0.7n + 10n = 10.7n -150 + 10.7n = 20n + -80 + -4n Reorder the terms: -150 + 10.7n = -80 + 20n + -4n Combine like terms: 20n + -4n = 16n -150 + 10.7n = -80 + 16n Solving -150 + 10.7n = -80 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -150 + 10.7n + -16n = -80 + 16n + -16n Combine like terms: 10.7n + -16n = -5.3n -150 + -5.3n = -80 + 16n + -16n Combine like terms: 16n + -16n = 0 -150 + -5.3n = -80 + 0 -150 + -5.3n = -80 Add '150' to each side of the equation. -150 + 150 + -5.3n = -80 + 150 Combine like terms: -150 + 150 = 0 0 + -5.3n = -80 + 150 -5.3n = -80 + 150 Combine like terms: -80 + 150 = 70 -5.3n = 70 Divide each side by '-5.3'. n = -13.20754717 Simplifying n = -13.20754717
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