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Simplifying 6(5 + -1z) + 2z = 0 (5 * 6 + -1z * 6) + 2z = 0 (30 + -6z) + 2z = 0 Combine like terms: -6z + 2z = -4z 30 + -4z = 0 Solving 30 + -4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -4z = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -4z = 0 + -30 -4z = 0 + -30 Combine like terms: 0 + -30 = -30 -4z = -30 Divide each side by '-4'. z = 7.5 Simplifying z = 7.5
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