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Simplifying -16(-20z + 15) + -15 + -17z = 8 + -4(-9z + 17) + 18(16z + 10) Reorder the terms: -16(15 + -20z) + -15 + -17z = 8 + -4(-9z + 17) + 18(16z + 10) (15 * -16 + -20z * -16) + -15 + -17z = 8 + -4(-9z + 17) + 18(16z + 10) (-240 + 320z) + -15 + -17z = 8 + -4(-9z + 17) + 18(16z + 10) Reorder the terms: -240 + -15 + 320z + -17z = 8 + -4(-9z + 17) + 18(16z + 10) Combine like terms: -240 + -15 = -255 -255 + 320z + -17z = 8 + -4(-9z + 17) + 18(16z + 10) Combine like terms: 320z + -17z = 303z -255 + 303z = 8 + -4(-9z + 17) + 18(16z + 10) Reorder the terms: -255 + 303z = 8 + -4(17 + -9z) + 18(16z + 10) -255 + 303z = 8 + (17 * -4 + -9z * -4) + 18(16z + 10) -255 + 303z = 8 + (-68 + 36z) + 18(16z + 10) Reorder the terms: -255 + 303z = 8 + -68 + 36z + 18(10 + 16z) -255 + 303z = 8 + -68 + 36z + (10 * 18 + 16z * 18) -255 + 303z = 8 + -68 + 36z + (180 + 288z) Reorder the terms: -255 + 303z = 8 + -68 + 180 + 36z + 288z Combine like terms: 8 + -68 = -60 -255 + 303z = -60 + 180 + 36z + 288z Combine like terms: -60 + 180 = 120 -255 + 303z = 120 + 36z + 288z Combine like terms: 36z + 288z = 324z -255 + 303z = 120 + 324z Solving -255 + 303z = 120 + 324z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-324z' to each side of the equation. -255 + 303z + -324z = 120 + 324z + -324z Combine like terms: 303z + -324z = -21z -255 + -21z = 120 + 324z + -324z Combine like terms: 324z + -324z = 0 -255 + -21z = 120 + 0 -255 + -21z = 120 Add '255' to each side of the equation. -255 + 255 + -21z = 120 + 255 Combine like terms: -255 + 255 = 0 0 + -21z = 120 + 255 -21z = 120 + 255 Combine like terms: 120 + 255 = 375 -21z = 375 Divide each side by '-21'. z = -17.85714286 Simplifying z = -17.85714286
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