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Simplifying 7(4 + -3z) = 0 (4 * 7 + -3z * 7) = 0 (28 + -21z) = 0 Solving 28 + -21z = 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 + -21z = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -21z = 0 + -28 -21z = 0 + -28 Combine like terms: 0 + -28 = -28 -21z = -28 Divide each side by '-21'. z = 1.333333333 Simplifying z = 1.333333333
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