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Simplifying 3z + -4 + 5z = 12z + -6 Reorder the terms: -4 + 3z + 5z = 12z + -6 Combine like terms: 3z + 5z = 8z -4 + 8z = 12z + -6 Reorder the terms: -4 + 8z = -6 + 12z Solving -4 + 8z = -6 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -4 + 8z + -12z = -6 + 12z + -12z Combine like terms: 8z + -12z = -4z -4 + -4z = -6 + 12z + -12z Combine like terms: 12z + -12z = 0 -4 + -4z = -6 + 0 -4 + -4z = -6 Add '4' to each side of the equation. -4 + 4 + -4z = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -4z = -6 + 4 -4z = -6 + 4 Combine like terms: -6 + 4 = -2 -4z = -2 Divide each side by '-4'. z = 0.5 Simplifying z = 0.5
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