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Simplifying 4(6 + 9) = (4 + n) + (4 * 9) Combine like terms: 6 + 9 = 15 4(15) = (4 + n) + (4 * 9) Multiply 4 * 15 60 = (4 + n) + (4 * 9) Remove parenthesis around (4 + n) 60 = 4 + n + (4 * 9) Multiply 4 * 9 60 = 4 + n + (36) 60 = 4 + n + 36 Reorder the terms: 60 = 4 + 36 + n Combine like terms: 4 + 36 = 40 60 = 40 + n Solving 60 = 40 + 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. 60 + -1n = 40 + n + -1n Combine like terms: n + -1n = 0 60 + -1n = 40 + 0 60 + -1n = 40 Add '-60' to each side of the equation. 60 + -60 + -1n = 40 + -60 Combine like terms: 60 + -60 = 0 0 + -1n = 40 + -60 -1n = 40 + -60 Combine like terms: 40 + -60 = -20 -1n = -20 Divide each side by '-1'. n = 20 Simplifying n = 20
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