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Simplifying 38 = z + -1(12 + -1z) 38 = z + (12 * -1 + -1z * -1) 38 = z + (-12 + 1z) Reorder the terms: 38 = -12 + z + 1z Combine like terms: z + 1z = 2z 38 = -12 + 2z Solving 38 = -12 + 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 = -12 + 2z + -2z Combine like terms: 2z + -2z = 0 38 + -2z = -12 + 0 38 + -2z = -12 Add '-38' to each side of the equation. 38 + -38 + -2z = -12 + -38 Combine like terms: 38 + -38 = 0 0 + -2z = -12 + -38 -2z = -12 + -38 Combine like terms: -12 + -38 = -50 -2z = -50 Divide each side by '-2'. z = 25 Simplifying z = 25
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