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Simplifying -4z + 18 = 3(2z + -4) Reorder the terms: 18 + -4z = 3(2z + -4) Reorder the terms: 18 + -4z = 3(-4 + 2z) 18 + -4z = (-4 * 3 + 2z * 3) 18 + -4z = (-12 + 6z) Solving 18 + -4z = -12 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 18 + -4z + -6z = -12 + 6z + -6z Combine like terms: -4z + -6z = -10z 18 + -10z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 18 + -10z = -12 + 0 18 + -10z = -12 Add '-18' to each side of the equation. 18 + -18 + -10z = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -10z = -12 + -18 -10z = -12 + -18 Combine like terms: -12 + -18 = -30 -10z = -30 Divide each side by '-10'. z = 3 Simplifying z = 3
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