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Simplifying -52 = 4(n + -9) Reorder the terms: -52 = 4(-9 + n) -52 = (-9 * 4 + n * 4) -52 = (-36 + 4n) Solving -52 = -36 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -52 + -4n = -36 + 4n + -4n Combine like terms: 4n + -4n = 0 -52 + -4n = -36 + 0 -52 + -4n = -36 Add '52' to each side of the equation. -52 + 52 + -4n = -36 + 52 Combine like terms: -52 + 52 = 0 0 + -4n = -36 + 52 -4n = -36 + 52 Combine like terms: -36 + 52 = 16 -4n = 16 Divide each side by '-4'. n = -4 Simplifying n = -4
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