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Simplifying 6z + -7 = 2z + -12 Reorder the terms: -7 + 6z = 2z + -12 Reorder the terms: -7 + 6z = -12 + 2z Solving -7 + 6z = -12 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -7 + 6z + -2z = -12 + 2z + -2z Combine like terms: 6z + -2z = 4z -7 + 4z = -12 + 2z + -2z Combine like terms: 2z + -2z = 0 -7 + 4z = -12 + 0 -7 + 4z = -12 Add '7' to each side of the equation. -7 + 7 + 4z = -12 + 7 Combine like terms: -7 + 7 = 0 0 + 4z = -12 + 7 4z = -12 + 7 Combine like terms: -12 + 7 = -5 4z = -5 Divide each side by '4'. z = -1.25 Simplifying z = -1.25
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