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Simplifying -16 + 20z + -20 = 9(2z + -2) Reorder the terms: -16 + -20 + 20z = 9(2z + -2) Combine like terms: -16 + -20 = -36 -36 + 20z = 9(2z + -2) Reorder the terms: -36 + 20z = 9(-2 + 2z) -36 + 20z = (-2 * 9 + 2z * 9) -36 + 20z = (-18 + 18z) Solving -36 + 20z = -18 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. -36 + 20z + -18z = -18 + 18z + -18z Combine like terms: 20z + -18z = 2z -36 + 2z = -18 + 18z + -18z Combine like terms: 18z + -18z = 0 -36 + 2z = -18 + 0 -36 + 2z = -18 Add '36' to each side of the equation. -36 + 36 + 2z = -18 + 36 Combine like terms: -36 + 36 = 0 0 + 2z = -18 + 36 2z = -18 + 36 Combine like terms: -18 + 36 = 18 2z = 18 Divide each side by '2'. z = 9 Simplifying z = 9
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