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Simplifying 18(z + -3) = 12(z + 12) Reorder the terms: 18(-3 + z) = 12(z + 12) (-3 * 18 + z * 18) = 12(z + 12) (-54 + 18z) = 12(z + 12) Reorder the terms: -54 + 18z = 12(12 + z) -54 + 18z = (12 * 12 + z * 12) -54 + 18z = (144 + 12z) Solving -54 + 18z = 144 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -54 + 18z + -12z = 144 + 12z + -12z Combine like terms: 18z + -12z = 6z -54 + 6z = 144 + 12z + -12z Combine like terms: 12z + -12z = 0 -54 + 6z = 144 + 0 -54 + 6z = 144 Add '54' to each side of the equation. -54 + 54 + 6z = 144 + 54 Combine like terms: -54 + 54 = 0 0 + 6z = 144 + 54 6z = 144 + 54 Combine like terms: 144 + 54 = 198 6z = 198 Divide each side by '6'. z = 33 Simplifying z = 33
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