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Simplifying 6n + -18 = 4(n + 8) + -12 Reorder the terms: -18 + 6n = 4(n + 8) + -12 Reorder the terms: -18 + 6n = 4(8 + n) + -12 -18 + 6n = (8 * 4 + n * 4) + -12 -18 + 6n = (32 + 4n) + -12 Reorder the terms: -18 + 6n = 32 + -12 + 4n Combine like terms: 32 + -12 = 20 -18 + 6n = 20 + 4n Solving -18 + 6n = 20 + 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 = 20 + 4n + -4n Combine like terms: 6n + -4n = 2n -18 + 2n = 20 + 4n + -4n Combine like terms: 4n + -4n = 0 -18 + 2n = 20 + 0 -18 + 2n = 20 Add '18' to each side of the equation. -18 + 18 + 2n = 20 + 18 Combine like terms: -18 + 18 = 0 0 + 2n = 20 + 18 2n = 20 + 18 Combine like terms: 20 + 18 = 38 2n = 38 Divide each side by '2'. n = 19 Simplifying n = 19
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