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Simplifying 3(z + -4) + 6z + -4 = 0 Reorder the terms: 3(-4 + z) + 6z + -4 = 0 (-4 * 3 + z * 3) + 6z + -4 = 0 (-12 + 3z) + 6z + -4 = 0 Reorder the terms: -12 + -4 + 3z + 6z = 0 Combine like terms: -12 + -4 = -16 -16 + 3z + 6z = 0 Combine like terms: 3z + 6z = 9z -16 + 9z = 0 Solving -16 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 9z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9z = 0 + 16 9z = 0 + 16 Combine like terms: 0 + 16 = 16 9z = 16 Divide each side by '9'. z = 1.777777778 Simplifying z = 1.777777778
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