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Simplifying 24 = -2(22 + -1z) + 3(z + -4) 24 = (22 * -2 + -1z * -2) + 3(z + -4) 24 = (-44 + 2z) + 3(z + -4) Reorder the terms: 24 = -44 + 2z + 3(-4 + z) 24 = -44 + 2z + (-4 * 3 + z * 3) 24 = -44 + 2z + (-12 + 3z) Reorder the terms: 24 = -44 + -12 + 2z + 3z Combine like terms: -44 + -12 = -56 24 = -56 + 2z + 3z Combine like terms: 2z + 3z = 5z 24 = -56 + 5z Solving 24 = -56 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 24 + -5z = -56 + 5z + -5z Combine like terms: 5z + -5z = 0 24 + -5z = -56 + 0 24 + -5z = -56 Add '-24' to each side of the equation. 24 + -24 + -5z = -56 + -24 Combine like terms: 24 + -24 = 0 0 + -5z = -56 + -24 -5z = -56 + -24 Combine like terms: -56 + -24 = -80 -5z = -80 Divide each side by '-5'. z = 16 Simplifying z = 16
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