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Simplifying 4z + -7(3z + -4) = 0 Reorder the terms: 4z + -7(-4 + 3z) = 0 4z + (-4 * -7 + 3z * -7) = 0 4z + (28 + -21z) = 0 Reorder the terms: 28 + 4z + -21z = 0 Combine like terms: 4z + -21z = -17z 28 + -17z = 0 Solving 28 + -17z = 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 + -17z = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -17z = 0 + -28 -17z = 0 + -28 Combine like terms: 0 + -28 = -28 -17z = -28 Divide each side by '-17'. z = 1.647058824 Simplifying z = 1.647058824
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