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Simplifying 8z + 4z + -18 = 9 + -12 + -1z + 1 Reorder the terms: -18 + 8z + 4z = 9 + -12 + -1z + 1 Combine like terms: 8z + 4z = 12z -18 + 12z = 9 + -12 + -1z + 1 Reorder the terms: -18 + 12z = 9 + -12 + 1 + -1z Combine like terms: 9 + -12 = -3 -18 + 12z = -3 + 1 + -1z Combine like terms: -3 + 1 = -2 -18 + 12z = -2 + -1z Solving -18 + 12z = -2 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -18 + 12z + z = -2 + -1z + z Combine like terms: 12z + z = 13z -18 + 13z = -2 + -1z + z Combine like terms: -1z + z = 0 -18 + 13z = -2 + 0 -18 + 13z = -2 Add '18' to each side of the equation. -18 + 18 + 13z = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 13z = -2 + 18 13z = -2 + 18 Combine like terms: -2 + 18 = 16 13z = 16 Divide each side by '13'. z = 1.230769231 Simplifying z = 1.230769231
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