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Simplifying 6z + -2z + -38 = z + 12 Reorder the terms: -38 + 6z + -2z = z + 12 Combine like terms: 6z + -2z = 4z -38 + 4z = z + 12 Reorder the terms: -38 + 4z = 12 + z Solving -38 + 4z = 12 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -38 + 4z + -1z = 12 + z + -1z Combine like terms: 4z + -1z = 3z -38 + 3z = 12 + z + -1z Combine like terms: z + -1z = 0 -38 + 3z = 12 + 0 -38 + 3z = 12 Add '38' to each side of the equation. -38 + 38 + 3z = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 3z = 12 + 38 3z = 12 + 38 Combine like terms: 12 + 38 = 50 3z = 50 Divide each side by '3'. z = 16.66666667 Simplifying z = 16.66666667
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