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Simplifying 4(z + -2) + 5z + -3 = 0 Reorder the terms: 4(-2 + z) + 5z + -3 = 0 (-2 * 4 + z * 4) + 5z + -3 = 0 (-8 + 4z) + 5z + -3 = 0 Reorder the terms: -8 + -3 + 4z + 5z = 0 Combine like terms: -8 + -3 = -11 -11 + 4z + 5z = 0 Combine like terms: 4z + 5z = 9z -11 + 9z = 0 Solving -11 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 9z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 9z = 0 + 11 9z = 0 + 11 Combine like terms: 0 + 11 = 11 9z = 11 Divide each side by '9'. z = 1.222222222 Simplifying z = 1.222222222
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