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Simplifying (4z + 6) + (7z + -15) = 0 Reorder the terms: (6 + 4z) + (7z + -15) = 0 Remove parenthesis around (6 + 4z) 6 + 4z + (7z + -15) = 0 Reorder the terms: 6 + 4z + (-15 + 7z) = 0 Remove parenthesis around (-15 + 7z) 6 + 4z + -15 + 7z = 0 Reorder the terms: 6 + -15 + 4z + 7z = 0 Combine like terms: 6 + -15 = -9 -9 + 4z + 7z = 0 Combine like terms: 4z + 7z = 11z -9 + 11z = 0 Solving -9 + 11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 11z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 11z = 0 + 9 11z = 0 + 9 Combine like terms: 0 + 9 = 9 11z = 9 Divide each side by '11'. z = 0.8181818182 Simplifying z = 0.8181818182
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