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Simplifying 3z + -2(z + -9) = 3 + 2z Reorder the terms: 3z + -2(-9 + z) = 3 + 2z 3z + (-9 * -2 + z * -2) = 3 + 2z 3z + (18 + -2z) = 3 + 2z Reorder the terms: 18 + 3z + -2z = 3 + 2z Combine like terms: 3z + -2z = 1z 18 + 1z = 3 + 2z Solving 18 + 1z = 3 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 18 + 1z + -2z = 3 + 2z + -2z Combine like terms: 1z + -2z = -1z 18 + -1z = 3 + 2z + -2z Combine like terms: 2z + -2z = 0 18 + -1z = 3 + 0 18 + -1z = 3 Add '-18' to each side of the equation. 18 + -18 + -1z = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -1z = 3 + -18 -1z = 3 + -18 Combine like terms: 3 + -18 = -15 -1z = -15 Divide each side by '-1'. z = 15 Simplifying z = 15
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