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Simplifying 21 + 3n = 5(n + -4) + 4 Reorder the terms: 21 + 3n = 5(-4 + n) + 4 21 + 3n = (-4 * 5 + n * 5) + 4 21 + 3n = (-20 + 5n) + 4 Reorder the terms: 21 + 3n = -20 + 4 + 5n Combine like terms: -20 + 4 = -16 21 + 3n = -16 + 5n Solving 21 + 3n = -16 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 21 + 3n + -5n = -16 + 5n + -5n Combine like terms: 3n + -5n = -2n 21 + -2n = -16 + 5n + -5n Combine like terms: 5n + -5n = 0 21 + -2n = -16 + 0 21 + -2n = -16 Add '-21' to each side of the equation. 21 + -21 + -2n = -16 + -21 Combine like terms: 21 + -21 = 0 0 + -2n = -16 + -21 -2n = -16 + -21 Combine like terms: -16 + -21 = -37 -2n = -37 Divide each side by '-2'. n = 18.5 Simplifying n = 18.5
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