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Simplifying 6n + -18 = 4(n + 12) Reorder the terms: -18 + 6n = 4(n + 12) Reorder the terms: -18 + 6n = 4(12 + n) -18 + 6n = (12 * 4 + n * 4) -18 + 6n = (48 + 4n) Solving -18 + 6n = 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. -18 + 6n + -4n = 48 + 4n + -4n Combine like terms: 6n + -4n = 2n -18 + 2n = 48 + 4n + -4n Combine like terms: 4n + -4n = 0 -18 + 2n = 48 + 0 -18 + 2n = 48 Add '18' to each side of the equation. -18 + 18 + 2n = 48 + 18 Combine like terms: -18 + 18 = 0 0 + 2n = 48 + 18 2n = 48 + 18 Combine like terms: 48 + 18 = 66 2n = 66 Divide each side by '2'. n = 33 Simplifying n = 33
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