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Simplifying 7n + -150 + 10n = 20n + -80 + -4n Reorder the terms: -150 + 7n + 10n = 20n + -80 + -4n Combine like terms: 7n + 10n = 17n -150 + 17n = 20n + -80 + -4n Reorder the terms: -150 + 17n = -80 + 20n + -4n Combine like terms: 20n + -4n = 16n -150 + 17n = -80 + 16n Solving -150 + 17n = -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 + 17n + -16n = -80 + 16n + -16n Combine like terms: 17n + -16n = 1n -150 + 1n = -80 + 16n + -16n Combine like terms: 16n + -16n = 0 -150 + 1n = -80 + 0 -150 + 1n = -80 Add '150' to each side of the equation. -150 + 150 + 1n = -80 + 150 Combine like terms: -150 + 150 = 0 0 + 1n = -80 + 150 1n = -80 + 150 Combine like terms: -80 + 150 = 70 1n = 70 Divide each side by '1'. n = 70 Simplifying n = 70
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