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