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Simplifying 28 + 8n = 7n + -8(4 + -2n) 28 + 8n = 7n + (4 * -8 + -2n * -8) 28 + 8n = 7n + (-32 + 16n) Reorder the terms: 28 + 8n = -32 + 7n + 16n Combine like terms: 7n + 16n = 23n 28 + 8n = -32 + 23n Solving 28 + 8n = -32 + 23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-23n' to each side of the equation. 28 + 8n + -23n = -32 + 23n + -23n Combine like terms: 8n + -23n = -15n 28 + -15n = -32 + 23n + -23n Combine like terms: 23n + -23n = 0 28 + -15n = -32 + 0 28 + -15n = -32 Add '-28' to each side of the equation. 28 + -28 + -15n = -32 + -28 Combine like terms: 28 + -28 = 0 0 + -15n = -32 + -28 -15n = -32 + -28 Combine like terms: -32 + -28 = -60 -15n = -60 Divide each side by '-15'. n = 4 Simplifying n = 4
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