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Simplifying (8x + -3) + n = (10x + 30) Reorder the terms: (-3 + 8x) + n = (10x + 30) Remove parenthesis around (-3 + 8x) -3 + 8x + n = (10x + 30) Reorder the terms: -3 + n + 8x = (10x + 30) Reorder the terms: -3 + n + 8x = (30 + 10x) Remove parenthesis around (30 + 10x) -3 + n + 8x = 30 + 10x Solving -3 + n + 8x = 30 + 10x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + n + 3 + 8x = 30 + 3 + 10x Reorder the terms: -3 + 3 + n + 8x = 30 + 3 + 10x Combine like terms: -3 + 3 = 0 0 + n + 8x = 30 + 3 + 10x n + 8x = 30 + 3 + 10x Combine like terms: 30 + 3 = 33 n + 8x = 33 + 10x Add '-8x' to each side of the equation. n + 8x + -8x = 33 + 10x + -8x Combine like terms: 8x + -8x = 0 n + 0 = 33 + 10x + -8x n = 33 + 10x + -8x Combine like terms: 10x + -8x = 2x n = 33 + 2x Simplifying n = 33 + 2x
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