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Simplifying 38 = -2(23 + -1z) + 4 38 = (23 * -2 + -1z * -2) + 4 38 = (-46 + 2z) + 4 Reorder the terms: 38 = -46 + 4 + 2z Combine like terms: -46 + 4 = -42 38 = -42 + 2z Solving 38 = -42 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 38 + -2z = -42 + 2z + -2z Combine like terms: 2z + -2z = 0 38 + -2z = -42 + 0 38 + -2z = -42 Add '-38' to each side of the equation. 38 + -38 + -2z = -42 + -38 Combine like terms: 38 + -38 = 0 0 + -2z = -42 + -38 -2z = -42 + -38 Combine like terms: -42 + -38 = -80 -2z = -80 Divide each side by '-2'. z = 40 Simplifying z = 40
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