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Simplifying 33 = -3(23 + -1z) + 3(z + -4) 33 = (23 * -3 + -1z * -3) + 3(z + -4) 33 = (-69 + 3z) + 3(z + -4) Reorder the terms: 33 = -69 + 3z + 3(-4 + z) 33 = -69 + 3z + (-4 * 3 + z * 3) 33 = -69 + 3z + (-12 + 3z) Reorder the terms: 33 = -69 + -12 + 3z + 3z Combine like terms: -69 + -12 = -81 33 = -81 + 3z + 3z Combine like terms: 3z + 3z = 6z 33 = -81 + 6z Solving 33 = -81 + 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. 33 + -6z = -81 + 6z + -6z Combine like terms: 6z + -6z = 0 33 + -6z = -81 + 0 33 + -6z = -81 Add '-33' to each side of the equation. 33 + -33 + -6z = -81 + -33 Combine like terms: 33 + -33 = 0 0 + -6z = -81 + -33 -6z = -81 + -33 Combine like terms: -81 + -33 = -114 -6z = -114 Divide each side by '-6'. z = 19 Simplifying z = 19
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