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Simplifying 3(n + -4) + 5(6n + -4) = 7(n + 6) + -24 Reorder the terms: 3(-4 + n) + 5(6n + -4) = 7(n + 6) + -24 (-4 * 3 + n * 3) + 5(6n + -4) = 7(n + 6) + -24 (-12 + 3n) + 5(6n + -4) = 7(n + 6) + -24 Reorder the terms: -12 + 3n + 5(-4 + 6n) = 7(n + 6) + -24 -12 + 3n + (-4 * 5 + 6n * 5) = 7(n + 6) + -24 -12 + 3n + (-20 + 30n) = 7(n + 6) + -24 Reorder the terms: -12 + -20 + 3n + 30n = 7(n + 6) + -24 Combine like terms: -12 + -20 = -32 -32 + 3n + 30n = 7(n + 6) + -24 Combine like terms: 3n + 30n = 33n -32 + 33n = 7(n + 6) + -24 Reorder the terms: -32 + 33n = 7(6 + n) + -24 -32 + 33n = (6 * 7 + n * 7) + -24 -32 + 33n = (42 + 7n) + -24 Reorder the terms: -32 + 33n = 42 + -24 + 7n Combine like terms: 42 + -24 = 18 -32 + 33n = 18 + 7n Solving -32 + 33n = 18 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -32 + 33n + -7n = 18 + 7n + -7n Combine like terms: 33n + -7n = 26n -32 + 26n = 18 + 7n + -7n Combine like terms: 7n + -7n = 0 -32 + 26n = 18 + 0 -32 + 26n = 18 Add '32' to each side of the equation. -32 + 32 + 26n = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 26n = 18 + 32 26n = 18 + 32 Combine like terms: 18 + 32 = 50 26n = 50 Divide each side by '26'. n = 1.923076923 Simplifying n = 1.923076923
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