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Simplifying -12 = 4z + -10 Reorder the terms: -12 = -10 + 4z Solving -12 = -10 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -12 + -4z = -10 + 4z + -4z Combine like terms: 4z + -4z = 0 -12 + -4z = -10 + 0 -12 + -4z = -10 Add '12' to each side of the equation. -12 + 12 + -4z = -10 + 12 Combine like terms: -12 + 12 = 0 0 + -4z = -10 + 12 -4z = -10 + 12 Combine like terms: -10 + 12 = 2 -4z = 2 Divide each side by '-4'. z = -0.5 Simplifying z = -0.5
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