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Simplifying 7n + -4(3n + 6) + 10 = 46 Reorder the terms: 7n + -4(6 + 3n) + 10 = 46 7n + (6 * -4 + 3n * -4) + 10 = 46 7n + (-24 + -12n) + 10 = 46 Reorder the terms: -24 + 10 + 7n + -12n = 46 Combine like terms: -24 + 10 = -14 -14 + 7n + -12n = 46 Combine like terms: 7n + -12n = -5n -14 + -5n = 46 Solving -14 + -5n = 46 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -5n = 46 + 14 Combine like terms: -14 + 14 = 0 0 + -5n = 46 + 14 -5n = 46 + 14 Combine like terms: 46 + 14 = 60 -5n = 60 Divide each side by '-5'. n = -12 Simplifying n = -12
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