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Simplifying 6n + 3 = 10n + -21 Reorder the terms: 3 + 6n = 10n + -21 Reorder the terms: 3 + 6n = -21 + 10n Solving 3 + 6n = -21 + 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. 3 + 6n + -10n = -21 + 10n + -10n Combine like terms: 6n + -10n = -4n 3 + -4n = -21 + 10n + -10n Combine like terms: 10n + -10n = 0 3 + -4n = -21 + 0 3 + -4n = -21 Add '-3' to each side of the equation. 3 + -3 + -4n = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -4n = -21 + -3 -4n = -21 + -3 Combine like terms: -21 + -3 = -24 -4n = -24 Divide each side by '-4'. n = 6 Simplifying n = 6
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