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Simplifying -6z + -18 = 3(3z + 4) Reorder the terms: -18 + -6z = 3(3z + 4) Reorder the terms: -18 + -6z = 3(4 + 3z) -18 + -6z = (4 * 3 + 3z * 3) -18 + -6z = (12 + 9z) Solving -18 + -6z = 12 + 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. -18 + -6z + -9z = 12 + 9z + -9z Combine like terms: -6z + -9z = -15z -18 + -15z = 12 + 9z + -9z Combine like terms: 9z + -9z = 0 -18 + -15z = 12 + 0 -18 + -15z = 12 Add '18' to each side of the equation. -18 + 18 + -15z = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -15z = 12 + 18 -15z = 12 + 18 Combine like terms: 12 + 18 = 30 -15z = 30 Divide each side by '-15'. z = -2 Simplifying z = -2
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