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Simplifying 4(n + -8) + -3n = 42 Reorder the terms: 4(-8 + n) + -3n = 42 (-8 * 4 + n * 4) + -3n = 42 (-32 + 4n) + -3n = 42 Combine like terms: 4n + -3n = 1n -32 + 1n = 42 Solving -32 + 1n = 42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 1n = 42 + 32 Combine like terms: -32 + 32 = 0 0 + 1n = 42 + 32 1n = 42 + 32 Combine like terms: 42 + 32 = 74 1n = 74 Divide each side by '1'. n = 74 Simplifying n = 74
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