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Simplifying 14(7 + -13z) = 0 (7 * 14 + -13z * 14) = 0 (98 + -182z) = 0 Solving 98 + -182z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-98' to each side of the equation. 98 + -98 + -182z = 0 + -98 Combine like terms: 98 + -98 = 0 0 + -182z = 0 + -98 -182z = 0 + -98 Combine like terms: 0 + -98 = -98 -182z = -98 Divide each side by '-182'. z = 0.5384615385 Simplifying z = 0.5384615385
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