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Simplifying 4(4n + 4) = 3n + 7(2n + 1) Reorder the terms: 4(4 + 4n) = 3n + 7(2n + 1) (4 * 4 + 4n * 4) = 3n + 7(2n + 1) (16 + 16n) = 3n + 7(2n + 1) Reorder the terms: 16 + 16n = 3n + 7(1 + 2n) 16 + 16n = 3n + (1 * 7 + 2n * 7) 16 + 16n = 3n + (7 + 14n) Reorder the terms: 16 + 16n = 7 + 3n + 14n Combine like terms: 3n + 14n = 17n 16 + 16n = 7 + 17n Solving 16 + 16n = 7 + 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. 16 + 16n + -17n = 7 + 17n + -17n Combine like terms: 16n + -17n = -1n 16 + -1n = 7 + 17n + -17n Combine like terms: 17n + -17n = 0 16 + -1n = 7 + 0 16 + -1n = 7 Add '-16' to each side of the equation. 16 + -16 + -1n = 7 + -16 Combine like terms: 16 + -16 = 0 0 + -1n = 7 + -16 -1n = 7 + -16 Combine like terms: 7 + -16 = -9 -1n = -9 Divide each side by '-1'. n = 9 Simplifying n = 9
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