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Simplifying 6(z + -5) + 7z + -1 = 0 Reorder the terms: 6(-5 + z) + 7z + -1 = 0 (-5 * 6 + z * 6) + 7z + -1 = 0 (-30 + 6z) + 7z + -1 = 0 Reorder the terms: -30 + -1 + 6z + 7z = 0 Combine like terms: -30 + -1 = -31 -31 + 6z + 7z = 0 Combine like terms: 6z + 7z = 13z -31 + 13z = 0 Solving -31 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 13z = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 13z = 0 + 31 13z = 0 + 31 Combine like terms: 0 + 31 = 31 13z = 31 Divide each side by '13'. z = 2.384615385 Simplifying z = 2.384615385
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