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Simplifying 6(n + -13) = 4(n + 11) Reorder the terms: 6(-13 + n) = 4(n + 11) (-13 * 6 + n * 6) = 4(n + 11) (-78 + 6n) = 4(n + 11) Reorder the terms: -78 + 6n = 4(11 + n) -78 + 6n = (11 * 4 + n * 4) -78 + 6n = (44 + 4n) Solving -78 + 6n = 44 + 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. -78 + 6n + -4n = 44 + 4n + -4n Combine like terms: 6n + -4n = 2n -78 + 2n = 44 + 4n + -4n Combine like terms: 4n + -4n = 0 -78 + 2n = 44 + 0 -78 + 2n = 44 Add '78' to each side of the equation. -78 + 78 + 2n = 44 + 78 Combine like terms: -78 + 78 = 0 0 + 2n = 44 + 78 2n = 44 + 78 Combine like terms: 44 + 78 = 122 2n = 122 Divide each side by '2'. n = 61 Simplifying n = 61
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