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Simplifying 8(6n + 42) = 10 Reorder the terms: 8(42 + 6n) = 10 (42 * 8 + 6n * 8) = 10 (336 + 48n) = 10 Solving 336 + 48n = 10 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-336' to each side of the equation. 336 + -336 + 48n = 10 + -336 Combine like terms: 336 + -336 = 0 0 + 48n = 10 + -336 48n = 10 + -336 Combine like terms: 10 + -336 = -326 48n = -326 Divide each side by '48'. n = -6.791666667 Simplifying n = -6.791666667
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