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Simplifying 6n + 4 = -4(n + -21) Reorder the terms: 4 + 6n = -4(n + -21) Reorder the terms: 4 + 6n = -4(-21 + n) 4 + 6n = (-21 * -4 + n * -4) 4 + 6n = (84 + -4n) Solving 4 + 6n = 84 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 4 + 6n + 4n = 84 + -4n + 4n Combine like terms: 6n + 4n = 10n 4 + 10n = 84 + -4n + 4n Combine like terms: -4n + 4n = 0 4 + 10n = 84 + 0 4 + 10n = 84 Add '-4' to each side of the equation. 4 + -4 + 10n = 84 + -4 Combine like terms: 4 + -4 = 0 0 + 10n = 84 + -4 10n = 84 + -4 Combine like terms: 84 + -4 = 80 10n = 80 Divide each side by '10'. n = 8 Simplifying n = 8
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