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Simplifying 5z + -3z + -18 = 4 + 3z Reorder the terms: -18 + 5z + -3z = 4 + 3z Combine like terms: 5z + -3z = 2z -18 + 2z = 4 + 3z Solving -18 + 2z = 4 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -18 + 2z + -3z = 4 + 3z + -3z Combine like terms: 2z + -3z = -1z -18 + -1z = 4 + 3z + -3z Combine like terms: 3z + -3z = 0 -18 + -1z = 4 + 0 -18 + -1z = 4 Add '18' to each side of the equation. -18 + 18 + -1z = 4 + 18 Combine like terms: -18 + 18 = 0 0 + -1z = 4 + 18 -1z = 4 + 18 Combine like terms: 4 + 18 = 22 -1z = 22 Divide each side by '-1'. z = -22 Simplifying z = -22
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