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Simplifying 4(7 + 8n) + 2 = -32 + n (7 * 4 + 8n * 4) + 2 = -32 + n (28 + 32n) + 2 = -32 + n Reorder the terms: 28 + 2 + 32n = -32 + n Combine like terms: 28 + 2 = 30 30 + 32n = -32 + n Solving 30 + 32n = -32 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 30 + 32n + -1n = -32 + n + -1n Combine like terms: 32n + -1n = 31n 30 + 31n = -32 + n + -1n Combine like terms: n + -1n = 0 30 + 31n = -32 + 0 30 + 31n = -32 Add '-30' to each side of the equation. 30 + -30 + 31n = -32 + -30 Combine like terms: 30 + -30 = 0 0 + 31n = -32 + -30 31n = -32 + -30 Combine like terms: -32 + -30 = -62 31n = -62 Divide each side by '31'. n = -2 Simplifying n = -2
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