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Simplifying -7(8n + 3) = 3n + -21 Reorder the terms: -7(3 + 8n) = 3n + -21 (3 * -7 + 8n * -7) = 3n + -21 (-21 + -56n) = 3n + -21 Reorder the terms: -21 + -56n = -21 + 3n Add '21' to each side of the equation. -21 + 21 + -56n = -21 + 21 + 3n Combine like terms: -21 + 21 = 0 0 + -56n = -21 + 21 + 3n -56n = -21 + 21 + 3n Combine like terms: -21 + 21 = 0 -56n = 0 + 3n -56n = 3n Solving -56n = 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -56n + -3n = 3n + -3n Combine like terms: -56n + -3n = -59n -59n = 3n + -3n Combine like terms: 3n + -3n = 0 -59n = 0 Divide each side by '-59'. n = 0 Simplifying n = 0
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