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Simplifying 7z + 6(-2 + -5z) = 0 7z + (-2 * 6 + -5z * 6) = 0 7z + (-12 + -30z) = 0 Reorder the terms: -12 + 7z + -30z = 0 Combine like terms: 7z + -30z = -23z -12 + -23z = 0 Solving -12 + -23z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -23z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -23z = 0 + 12 -23z = 0 + 12 Combine like terms: 0 + 12 = 12 -23z = 12 Divide each side by '-23'. z = -0.5217391304 Simplifying z = -0.5217391304
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