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Simplifying 4n + -6(-8n + 4) = 21 + 7n Reorder the terms: 4n + -6(4 + -8n) = 21 + 7n 4n + (4 * -6 + -8n * -6) = 21 + 7n 4n + (-24 + 48n) = 21 + 7n Reorder the terms: -24 + 4n + 48n = 21 + 7n Combine like terms: 4n + 48n = 52n -24 + 52n = 21 + 7n Solving -24 + 52n = 21 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -24 + 52n + -7n = 21 + 7n + -7n Combine like terms: 52n + -7n = 45n -24 + 45n = 21 + 7n + -7n Combine like terms: 7n + -7n = 0 -24 + 45n = 21 + 0 -24 + 45n = 21 Add '24' to each side of the equation. -24 + 24 + 45n = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 45n = 21 + 24 45n = 21 + 24 Combine like terms: 21 + 24 = 45 45n = 45 Divide each side by '45'. n = 1 Simplifying n = 1
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