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Simplifying 18 = (3z + 2z) + -7 Combine like terms: 3z + 2z = 5z 18 = (5z) + -7 18 = (5z) + -7 Reorder the terms: 18 = -7 + (5z) Solving 18 = -7 + (5z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-5z)' to each side of the equation. 18 + (-5z) = -7 + (5z) + (-5z) Combine like terms: (5z) + (-5z) = 0 18 + (-5z) = -7 + 0 18 + (-5z) = -7 Add '-18' to each side of the equation. 18 + -18 + (-5z) = -7 + -18 Combine like terms: 18 + -18 = 0 0 + (-5z) = -7 + -18 (-5z) = -7 + -18 Combine like terms: -7 + -18 = -25 (-5z) = -25 Divide each side by '-5'. z = 5 Simplifying z = 5
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