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Simplifying 4(n + 4) = -2 + 7n Reorder the terms: 4(4 + n) = -2 + 7n (4 * 4 + n * 4) = -2 + 7n (16 + 4n) = -2 + 7n Solving 16 + 4n = -2 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 16 + 4n + -7n = -2 + 7n + -7n Combine like terms: 4n + -7n = -3n 16 + -3n = -2 + 7n + -7n Combine like terms: 7n + -7n = 0 16 + -3n = -2 + 0 16 + -3n = -2 Add '-16' to each side of the equation. 16 + -16 + -3n = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -3n = -2 + -16 -3n = -2 + -16 Combine like terms: -2 + -16 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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