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Simplifying 3(n + 22) = 4(n + 12) Reorder the terms: 3(22 + n) = 4(n + 12) (22 * 3 + n * 3) = 4(n + 12) (66 + 3n) = 4(n + 12) Reorder the terms: 66 + 3n = 4(12 + n) 66 + 3n = (12 * 4 + n * 4) 66 + 3n = (48 + 4n) Solving 66 + 3n = 48 + 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. 66 + 3n + -4n = 48 + 4n + -4n Combine like terms: 3n + -4n = -1n 66 + -1n = 48 + 4n + -4n Combine like terms: 4n + -4n = 0 66 + -1n = 48 + 0 66 + -1n = 48 Add '-66' to each side of the equation. 66 + -66 + -1n = 48 + -66 Combine like terms: 66 + -66 = 0 0 + -1n = 48 + -66 -1n = 48 + -66 Combine like terms: 48 + -66 = -18 -1n = -18 Divide each side by '-1'. n = 18 Simplifying n = 18
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