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Simplifying 16(n + 4) = 4(n + 49) Reorder the terms: 16(4 + n) = 4(n + 49) (4 * 16 + n * 16) = 4(n + 49) (64 + 16n) = 4(n + 49) Reorder the terms: 64 + 16n = 4(49 + n) 64 + 16n = (49 * 4 + n * 4) 64 + 16n = (196 + 4n) Solving 64 + 16n = 196 + 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. 64 + 16n + -4n = 196 + 4n + -4n Combine like terms: 16n + -4n = 12n 64 + 12n = 196 + 4n + -4n Combine like terms: 4n + -4n = 0 64 + 12n = 196 + 0 64 + 12n = 196 Add '-64' to each side of the equation. 64 + -64 + 12n = 196 + -64 Combine like terms: 64 + -64 = 0 0 + 12n = 196 + -64 12n = 196 + -64 Combine like terms: 196 + -64 = 132 12n = 132 Divide each side by '12'. n = 11 Simplifying n = 11
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