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Simplifying 6z + -5(z + -4) + 3 = 17 Reorder the terms: 6z + -5(-4 + z) + 3 = 17 6z + (-4 * -5 + z * -5) + 3 = 17 6z + (20 + -5z) + 3 = 17 Reorder the terms: 20 + 3 + 6z + -5z = 17 Combine like terms: 20 + 3 = 23 23 + 6z + -5z = 17 Combine like terms: 6z + -5z = 1z 23 + 1z = 17 Solving 23 + 1z = 17 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 1z = 17 + -23 Combine like terms: 23 + -23 = 0 0 + 1z = 17 + -23 1z = 17 + -23 Combine like terms: 17 + -23 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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