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Simplifying 6(z + -4) + 7z + -4 = 0 Reorder the terms: 6(-4 + z) + 7z + -4 = 0 (-4 * 6 + z * 6) + 7z + -4 = 0 (-24 + 6z) + 7z + -4 = 0 Reorder the terms: -24 + -4 + 6z + 7z = 0 Combine like terms: -24 + -4 = -28 -28 + 6z + 7z = 0 Combine like terms: 6z + 7z = 13z -28 + 13z = 0 Solving -28 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 13z = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 13z = 0 + 28 13z = 0 + 28 Combine like terms: 0 + 28 = 28 13z = 28 Divide each side by '13'. z = 2.153846154 Simplifying z = 2.153846154
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