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Simplifying (4 + 8z) + (11 + -7z) = 0 Remove parenthesis around (4 + 8z) 4 + 8z + (11 + -7z) = 0 Remove parenthesis around (11 + -7z) 4 + 8z + 11 + -7z = 0 Reorder the terms: 4 + 11 + 8z + -7z = 0 Combine like terms: 4 + 11 = 15 15 + 8z + -7z = 0 Combine like terms: 8z + -7z = 1z 15 + 1z = 0 Solving 15 + 1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 1z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 1z = 0 + -15 1z = 0 + -15 Combine like terms: 0 + -15 = -15 1z = -15 Divide each side by '1'. z = -15 Simplifying z = -15
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