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Simplifying 4z + -6 = 6 + z Reorder the terms: -6 + 4z = 6 + z Solving -6 + 4z = 6 + 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. -6 + 4z + -1z = 6 + z + -1z Combine like terms: 4z + -1z = 3z -6 + 3z = 6 + z + -1z Combine like terms: z + -1z = 0 -6 + 3z = 6 + 0 -6 + 3z = 6 Add '6' to each side of the equation. -6 + 6 + 3z = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 3z = 6 + 6 3z = 6 + 6 Combine like terms: 6 + 6 = 12 3z = 12 Divide each side by '3'. z = 4 Simplifying z = 4
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