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