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Simplifying -1(n + 7) + -1(5n + -3) = -52 Reorder the terms: -1(7 + n) + -1(5n + -3) = -52 (7 * -1 + n * -1) + -1(5n + -3) = -52 (-7 + -1n) + -1(5n + -3) = -52 Reorder the terms: -7 + -1n + -1(-3 + 5n) = -52 -7 + -1n + (-3 * -1 + 5n * -1) = -52 -7 + -1n + (3 + -5n) = -52 Reorder the terms: -7 + 3 + -1n + -5n = -52 Combine like terms: -7 + 3 = -4 -4 + -1n + -5n = -52 Combine like terms: -1n + -5n = -6n -4 + -6n = -52 Solving -4 + -6n = -52 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -6n = -52 + 4 Combine like terms: -4 + 4 = 0 0 + -6n = -52 + 4 -6n = -52 + 4 Combine like terms: -52 + 4 = -48 -6n = -48 Divide each side by '-6'. n = 8 Simplifying n = 8
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