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Simplifying 38 = -2(23 + -1z) + 4(z + -3) 38 = (23 * -2 + -1z * -2) + 4(z + -3) 38 = (-46 + 2z) + 4(z + -3) Reorder the terms: 38 = -46 + 2z + 4(-3 + z) 38 = -46 + 2z + (-3 * 4 + z * 4) 38 = -46 + 2z + (-12 + 4z) Reorder the terms: 38 = -46 + -12 + 2z + 4z Combine like terms: -46 + -12 = -58 38 = -58 + 2z + 4z Combine like terms: 2z + 4z = 6z 38 = -58 + 6z Solving 38 = -58 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 38 + -6z = -58 + 6z + -6z Combine like terms: 6z + -6z = 0 38 + -6z = -58 + 0 38 + -6z = -58 Add '-38' to each side of the equation. 38 + -38 + -6z = -58 + -38 Combine like terms: 38 + -38 = 0 0 + -6z = -58 + -38 -6z = -58 + -38 Combine like terms: -58 + -38 = -96 -6z = -96 Divide each side by '-6'. z = 16 Simplifying z = 16
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