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Simplifying 4 + 4(n + 6) = 19 + n Reorder the terms: 4 + 4(6 + n) = 19 + n 4 + (6 * 4 + n * 4) = 19 + n 4 + (24 + 4n) = 19 + n Combine like terms: 4 + 24 = 28 28 + 4n = 19 + n Solving 28 + 4n = 19 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 28 + 4n + -1n = 19 + n + -1n Combine like terms: 4n + -1n = 3n 28 + 3n = 19 + n + -1n Combine like terms: n + -1n = 0 28 + 3n = 19 + 0 28 + 3n = 19 Add '-28' to each side of the equation. 28 + -28 + 3n = 19 + -28 Combine like terms: 28 + -28 = 0 0 + 3n = 19 + -28 3n = 19 + -28 Combine like terms: 19 + -28 = -9 3n = -9 Divide each side by '3'. n = -3 Simplifying n = -3
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