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Simplifying 7n + -4 = 10n + 4 Reorder the terms: -4 + 7n = 10n + 4 Reorder the terms: -4 + 7n = 4 + 10n Solving -4 + 7n = 4 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -4 + 7n + -10n = 4 + 10n + -10n Combine like terms: 7n + -10n = -3n -4 + -3n = 4 + 10n + -10n Combine like terms: 10n + -10n = 0 -4 + -3n = 4 + 0 -4 + -3n = 4 Add '4' to each side of the equation. -4 + 4 + -3n = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -3n = 4 + 4 -3n = 4 + 4 Combine like terms: 4 + 4 = 8 -3n = 8 Divide each side by '-3'. n = -2.666666667 Simplifying n = -2.666666667
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