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Simplifying 4(5n + -7) = 10x + 2 Reorder the terms: 4(-7 + 5n) = 10x + 2 (-7 * 4 + 5n * 4) = 10x + 2 (-28 + 20n) = 10x + 2 Reorder the terms: -28 + 20n = 2 + 10x Solving -28 + 20n = 2 + 10x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 20n = 2 + 28 + 10x Combine like terms: -28 + 28 = 0 0 + 20n = 2 + 28 + 10x 20n = 2 + 28 + 10x Combine like terms: 2 + 28 = 30 20n = 30 + 10x Divide each side by '20'. n = 1.5 + 0.5x Simplifying n = 1.5 + 0.5x
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