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Simplifying -4n + 10 = 6n + -40 Reorder the terms: 10 + -4n = 6n + -40 Reorder the terms: 10 + -4n = -40 + 6n Solving 10 + -4n = -40 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 10 + -4n + -6n = -40 + 6n + -6n Combine like terms: -4n + -6n = -10n 10 + -10n = -40 + 6n + -6n Combine like terms: 6n + -6n = 0 10 + -10n = -40 + 0 10 + -10n = -40 Add '-10' to each side of the equation. 10 + -10 + -10n = -40 + -10 Combine like terms: 10 + -10 = 0 0 + -10n = -40 + -10 -10n = -40 + -10 Combine like terms: -40 + -10 = -50 -10n = -50 Divide each side by '-10'. n = 5 Simplifying n = 5
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