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Simplifying 5n + -30 + 6 = 7n + -10 Reorder the terms: -30 + 6 + 5n = 7n + -10 Combine like terms: -30 + 6 = -24 -24 + 5n = 7n + -10 Reorder the terms: -24 + 5n = -10 + 7n Solving -24 + 5n = -10 + 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. -24 + 5n + -7n = -10 + 7n + -7n Combine like terms: 5n + -7n = -2n -24 + -2n = -10 + 7n + -7n Combine like terms: 7n + -7n = 0 -24 + -2n = -10 + 0 -24 + -2n = -10 Add '24' to each side of the equation. -24 + 24 + -2n = -10 + 24 Combine like terms: -24 + 24 = 0 0 + -2n = -10 + 24 -2n = -10 + 24 Combine like terms: -10 + 24 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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