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Simplifying 7(n + -4) + 3n = 52 Reorder the terms: 7(-4 + n) + 3n = 52 (-4 * 7 + n * 7) + 3n = 52 (-28 + 7n) + 3n = 52 Combine like terms: 7n + 3n = 10n -28 + 10n = 52 Solving -28 + 10n = 52 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 + 10n = 52 + 28 Combine like terms: -28 + 28 = 0 0 + 10n = 52 + 28 10n = 52 + 28 Combine like terms: 52 + 28 = 80 10n = 80 Divide each side by '10'. n = 8 Simplifying n = 8
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