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Simplifying 7(2z + 4) + -10z = 0 Reorder the terms: 7(4 + 2z) + -10z = 0 (4 * 7 + 2z * 7) + -10z = 0 (28 + 14z) + -10z = 0 Combine like terms: 14z + -10z = 4z 28 + 4z = 0 Solving 28 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 4z = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 4z = 0 + -28 4z = 0 + -28 Combine like terms: 0 + -28 = -28 4z = -28 Divide each side by '4'. z = -7 Simplifying z = -7
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