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Simplifying 10 + 3(2n + -4) = 46 Reorder the terms: 10 + 3(-4 + 2n) = 46 10 + (-4 * 3 + 2n * 3) = 46 10 + (-12 + 6n) = 46 Combine like terms: 10 + -12 = -2 -2 + 6n = 46 Solving -2 + 6n = 46 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6n = 46 + 2 Combine like terms: -2 + 2 = 0 0 + 6n = 46 + 2 6n = 46 + 2 Combine like terms: 46 + 2 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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