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Simplifying 7(z + -5) + 6z + -4 = 0 Reorder the terms: 7(-5 + z) + 6z + -4 = 0 (-5 * 7 + z * 7) + 6z + -4 = 0 (-35 + 7z) + 6z + -4 = 0 Reorder the terms: -35 + -4 + 7z + 6z = 0 Combine like terms: -35 + -4 = -39 -39 + 7z + 6z = 0 Combine like terms: 7z + 6z = 13z -39 + 13z = 0 Solving -39 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 13z = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 13z = 0 + 39 13z = 0 + 39 Combine like terms: 0 + 39 = 39 13z = 39 Divide each side by '13'. z = 3 Simplifying z = 3
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