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Simplifying 10n + -40 = 15n + 15 Reorder the terms: -40 + 10n = 15n + 15 Reorder the terms: -40 + 10n = 15 + 15n Solving -40 + 10n = 15 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -40 + 10n + -15n = 15 + 15n + -15n Combine like terms: 10n + -15n = -5n -40 + -5n = 15 + 15n + -15n Combine like terms: 15n + -15n = 0 -40 + -5n = 15 + 0 -40 + -5n = 15 Add '40' to each side of the equation. -40 + 40 + -5n = 15 + 40 Combine like terms: -40 + 40 = 0 0 + -5n = 15 + 40 -5n = 15 + 40 Combine like terms: 15 + 40 = 55 -5n = 55 Divide each side by '-5'. n = -11 Simplifying n = -11
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