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Simplifying 4z + 12 = z + 15 Reorder the terms: 12 + 4z = z + 15 Reorder the terms: 12 + 4z = 15 + z Solving 12 + 4z = 15 + 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. 12 + 4z + -1z = 15 + z + -1z Combine like terms: 4z + -1z = 3z 12 + 3z = 15 + z + -1z Combine like terms: z + -1z = 0 12 + 3z = 15 + 0 12 + 3z = 15 Add '-12' to each side of the equation. 12 + -12 + 3z = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = 15 + -12 3z = 15 + -12 Combine like terms: 15 + -12 = 3 3z = 3 Divide each side by '3'. z = 1 Simplifying z = 1
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