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Simplifying -3(3n + -21) = -4n + 83 Reorder the terms: -3(-21 + 3n) = -4n + 83 (-21 * -3 + 3n * -3) = -4n + 83 (63 + -9n) = -4n + 83 Reorder the terms: 63 + -9n = 83 + -4n Solving 63 + -9n = 83 + -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. 63 + -9n + 4n = 83 + -4n + 4n Combine like terms: -9n + 4n = -5n 63 + -5n = 83 + -4n + 4n Combine like terms: -4n + 4n = 0 63 + -5n = 83 + 0 63 + -5n = 83 Add '-63' to each side of the equation. 63 + -63 + -5n = 83 + -63 Combine like terms: 63 + -63 = 0 0 + -5n = 83 + -63 -5n = 83 + -63 Combine like terms: 83 + -63 = 20 -5n = 20 Divide each side by '-5'. n = -4 Simplifying n = -4
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