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Simplifying -18 = 15z + -9(2z + -2) Reorder the terms: -18 = 15z + -9(-2 + 2z) -18 = 15z + (-2 * -9 + 2z * -9) -18 = 15z + (18 + -18z) Reorder the terms: -18 = 18 + 15z + -18z Combine like terms: 15z + -18z = -3z -18 = 18 + -3z Solving -18 = 18 + -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 + 3z = 18 + -3z + 3z Combine like terms: -3z + 3z = 0 -18 + 3z = 18 + 0 -18 + 3z = 18 Add '18' to each side of the equation. -18 + 18 + 3z = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 3z = 18 + 18 3z = 18 + 18 Combine like terms: 18 + 18 = 36 3z = 36 Divide each side by '3'. z = 12 Simplifying z = 12
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