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Simplifying (-3 + n) * 5 = 100 + -1n Reorder the terms for easier multiplication: 5(-3 + n) = 100 + -1n (-3 * 5 + n * 5) = 100 + -1n (-15 + 5n) = 100 + -1n Solving -15 + 5n = 100 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -15 + 5n + n = 100 + -1n + n Combine like terms: 5n + n = 6n -15 + 6n = 100 + -1n + n Combine like terms: -1n + n = 0 -15 + 6n = 100 + 0 -15 + 6n = 100 Add '15' to each side of the equation. -15 + 15 + 6n = 100 + 15 Combine like terms: -15 + 15 = 0 0 + 6n = 100 + 15 6n = 100 + 15 Combine like terms: 100 + 15 = 115 6n = 115 Divide each side by '6'. n = 19.16666667 Simplifying n = 19.16666667
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