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Simplifying -12z + -1 + 13z = -18 + 2z Reorder the terms: -1 + -12z + 13z = -18 + 2z Combine like terms: -12z + 13z = 1z -1 + 1z = -18 + 2z Solving -1 + 1z = -18 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -1 + 1z + -2z = -18 + 2z + -2z Combine like terms: 1z + -2z = -1z -1 + -1z = -18 + 2z + -2z Combine like terms: 2z + -2z = 0 -1 + -1z = -18 + 0 -1 + -1z = -18 Add '1' to each side of the equation. -1 + 1 + -1z = -18 + 1 Combine like terms: -1 + 1 = 0 0 + -1z = -18 + 1 -1z = -18 + 1 Combine like terms: -18 + 1 = -17 -1z = -17 Divide each side by '-1'. z = 17 Simplifying z = 17
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