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Simplifying 12 + z = 6 + 5z Solving 12 + z = 6 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 12 + z + -5z = 6 + 5z + -5z Combine like terms: z + -5z = -4z 12 + -4z = 6 + 5z + -5z Combine like terms: 5z + -5z = 0 12 + -4z = 6 + 0 12 + -4z = 6 Add '-12' to each side of the equation. 12 + -12 + -4z = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -4z = 6 + -12 -4z = 6 + -12 Combine like terms: 6 + -12 = -6 -4z = -6 Divide each side by '-4'. z = 1.5 Simplifying z = 1.5
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