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Simplifying 4z + -13 = -18 + 9z Reorder the terms: -13 + 4z = -18 + 9z Solving -13 + 4z = -18 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -13 + 4z + -9z = -18 + 9z + -9z Combine like terms: 4z + -9z = -5z -13 + -5z = -18 + 9z + -9z Combine like terms: 9z + -9z = 0 -13 + -5z = -18 + 0 -13 + -5z = -18 Add '13' to each side of the equation. -13 + 13 + -5z = -18 + 13 Combine like terms: -13 + 13 = 0 0 + -5z = -18 + 13 -5z = -18 + 13 Combine like terms: -18 + 13 = -5 -5z = -5 Divide each side by '-5'. z = 1 Simplifying z = 1
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