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