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Simplifying 4(z + -3) + 5z + -2 = 0 Reorder the terms: 4(-3 + z) + 5z + -2 = 0 (-3 * 4 + z * 4) + 5z + -2 = 0 (-12 + 4z) + 5z + -2 = 0 Reorder the terms: -12 + -2 + 4z + 5z = 0 Combine like terms: -12 + -2 = -14 -14 + 4z + 5z = 0 Combine like terms: 4z + 5z = 9z -14 + 9z = 0 Solving -14 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9z = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 9z = 0 + 14 9z = 0 + 14 Combine like terms: 0 + 14 = 14 9z = 14 Divide each side by '9'. z = 1.555555556 Simplifying z = 1.555555556
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