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Simplifying 4(z + -2) + 8z + -1 = 0 Reorder the terms: 4(-2 + z) + 8z + -1 = 0 (-2 * 4 + z * 4) + 8z + -1 = 0 (-8 + 4z) + 8z + -1 = 0 Reorder the terms: -8 + -1 + 4z + 8z = 0 Combine like terms: -8 + -1 = -9 -9 + 4z + 8z = 0 Combine like terms: 4z + 8z = 12z -9 + 12z = 0 Solving -9 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 12z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 12z = 0 + 9 12z = 0 + 9 Combine like terms: 0 + 9 = 9 12z = 9 Divide each side by '12'. z = 0.75 Simplifying z = 0.75
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