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Simplifying -6(-10z + -4) + 6(9z + 7) = 0 Reorder the terms: -6(-4 + -10z) + 6(9z + 7) = 0 (-4 * -6 + -10z * -6) + 6(9z + 7) = 0 (24 + 60z) + 6(9z + 7) = 0 Reorder the terms: 24 + 60z + 6(7 + 9z) = 0 24 + 60z + (7 * 6 + 9z * 6) = 0 24 + 60z + (42 + 54z) = 0 Reorder the terms: 24 + 42 + 60z + 54z = 0 Combine like terms: 24 + 42 = 66 66 + 60z + 54z = 0 Combine like terms: 60z + 54z = 114z 66 + 114z = 0 Solving 66 + 114z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 114z = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 114z = 0 + -66 114z = 0 + -66 Combine like terms: 0 + -66 = -66 114z = -66 Divide each side by '114'. z = -0.5789473684 Simplifying z = -0.5789473684
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