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Simplifying 10 + 5n + -4 = 7n + 24 Reorder the terms: 10 + -4 + 5n = 7n + 24 Combine like terms: 10 + -4 = 6 6 + 5n = 7n + 24 Reorder the terms: 6 + 5n = 24 + 7n Solving 6 + 5n = 24 + 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. 6 + 5n + -7n = 24 + 7n + -7n Combine like terms: 5n + -7n = -2n 6 + -2n = 24 + 7n + -7n Combine like terms: 7n + -7n = 0 6 + -2n = 24 + 0 6 + -2n = 24 Add '-6' to each side of the equation. 6 + -6 + -2n = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -2n = 24 + -6 -2n = 24 + -6 Combine like terms: 24 + -6 = 18 -2n = 18 Divide each side by '-2'. n = -9 Simplifying n = -9
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