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Simplifying 34 = -2(22 + -1z) + 3(z + -4) 34 = (22 * -2 + -1z * -2) + 3(z + -4) 34 = (-44 + 2z) + 3(z + -4) Reorder the terms: 34 = -44 + 2z + 3(-4 + z) 34 = -44 + 2z + (-4 * 3 + z * 3) 34 = -44 + 2z + (-12 + 3z) Reorder the terms: 34 = -44 + -12 + 2z + 3z Combine like terms: -44 + -12 = -56 34 = -56 + 2z + 3z Combine like terms: 2z + 3z = 5z 34 = -56 + 5z Solving 34 = -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. 34 + -5z = -56 + 5z + -5z Combine like terms: 5z + -5z = 0 34 + -5z = -56 + 0 34 + -5z = -56 Add '-34' to each side of the equation. 34 + -34 + -5z = -56 + -34 Combine like terms: 34 + -34 = 0 0 + -5z = -56 + -34 -5z = -56 + -34 Combine like terms: -56 + -34 = -90 -5z = -90 Divide each side by '-5'. z = 18 Simplifying z = 18
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