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Simplifying 3(z + -4) = -2(z + 6) Reorder the terms: 3(-4 + z) = -2(z + 6) (-4 * 3 + z * 3) = -2(z + 6) (-12 + 3z) = -2(z + 6) Reorder the terms: -12 + 3z = -2(6 + z) -12 + 3z = (6 * -2 + z * -2) -12 + 3z = (-12 + -2z) Add '12' to each side of the equation. -12 + 12 + 3z = -12 + 12 + -2z Combine like terms: -12 + 12 = 0 0 + 3z = -12 + 12 + -2z 3z = -12 + 12 + -2z Combine like terms: -12 + 12 = 0 3z = 0 + -2z 3z = -2z Solving 3z = -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. 3z + 2z = -2z + 2z Combine like terms: 3z + 2z = 5z 5z = -2z + 2z Combine like terms: -2z + 2z = 0 5z = 0 Divide each side by '5'. z = 0 Simplifying z = 0
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