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Simplifying -13(16 + 13n) = 13n + -4(15n + -9) (16 * -13 + 13n * -13) = 13n + -4(15n + -9) (-208 + -169n) = 13n + -4(15n + -9) Reorder the terms: -208 + -169n = 13n + -4(-9 + 15n) -208 + -169n = 13n + (-9 * -4 + 15n * -4) -208 + -169n = 13n + (36 + -60n) Reorder the terms: -208 + -169n = 36 + 13n + -60n Combine like terms: 13n + -60n = -47n -208 + -169n = 36 + -47n Solving -208 + -169n = 36 + -47n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '47n' to each side of the equation. -208 + -169n + 47n = 36 + -47n + 47n Combine like terms: -169n + 47n = -122n -208 + -122n = 36 + -47n + 47n Combine like terms: -47n + 47n = 0 -208 + -122n = 36 + 0 -208 + -122n = 36 Add '208' to each side of the equation. -208 + 208 + -122n = 36 + 208 Combine like terms: -208 + 208 = 0 0 + -122n = 36 + 208 -122n = 36 + 208 Combine like terms: 36 + 208 = 244 -122n = 244 Divide each side by '-122'. n = -2 Simplifying n = -2
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