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Simplifying 6z + 12z + -18 + -5z + -12z + 4z = -1 + 2 Reorder the terms: -18 + 6z + 12z + -5z + -12z + 4z = -1 + 2 Combine like terms: 6z + 12z = 18z -18 + 18z + -5z + -12z + 4z = -1 + 2 Combine like terms: 18z + -5z = 13z -18 + 13z + -12z + 4z = -1 + 2 Combine like terms: 13z + -12z = 1z -18 + 1z + 4z = -1 + 2 Combine like terms: 1z + 4z = 5z -18 + 5z = -1 + 2 Combine like terms: -1 + 2 = 1 -18 + 5z = 1 Solving -18 + 5z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 5z = 1 + 18 Combine like terms: -18 + 18 = 0 0 + 5z = 1 + 18 5z = 1 + 18 Combine like terms: 1 + 18 = 19 5z = 19 Divide each side by '5'. z = 3.8 Simplifying z = 3.8
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