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Simplifying 3 * 2z + -4 = 7 * 2z + -12 Multiply 3 * 2 6z + -4 = 7 * 2z + -12 Reorder the terms: -4 + 6z = 7 * 2z + -12 Multiply 7 * 2 -4 + 6z = 14z + -12 Reorder the terms: -4 + 6z = -12 + 14z Solving -4 + 6z = -12 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. -4 + 6z + -14z = -12 + 14z + -14z Combine like terms: 6z + -14z = -8z -4 + -8z = -12 + 14z + -14z Combine like terms: 14z + -14z = 0 -4 + -8z = -12 + 0 -4 + -8z = -12 Add '4' to each side of the equation. -4 + 4 + -8z = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -8z = -12 + 4 -8z = -12 + 4 Combine like terms: -12 + 4 = -8 -8z = -8 Divide each side by '-8'. z = 1 Simplifying z = 1
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