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Simplifying 5z + 4(6 + -1z) = -1(z + -1) + 17 5z + (6 * 4 + -1z * 4) = -1(z + -1) + 17 5z + (24 + -4z) = -1(z + -1) + 17 Reorder the terms: 24 + 5z + -4z = -1(z + -1) + 17 Combine like terms: 5z + -4z = 1z 24 + 1z = -1(z + -1) + 17 Reorder the terms: 24 + 1z = -1(-1 + z) + 17 24 + 1z = (-1 * -1 + z * -1) + 17 24 + 1z = (1 + -1z) + 17 Reorder the terms: 24 + 1z = 1 + 17 + -1z Combine like terms: 1 + 17 = 18 24 + 1z = 18 + -1z Solving 24 + 1z = 18 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 24 + 1z + z = 18 + -1z + z Combine like terms: 1z + z = 2z 24 + 2z = 18 + -1z + z Combine like terms: -1z + z = 0 24 + 2z = 18 + 0 24 + 2z = 18 Add '-24' to each side of the equation. 24 + -24 + 2z = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 2z = 18 + -24 2z = 18 + -24 Combine like terms: 18 + -24 = -6 2z = -6 Divide each side by '2'. z = -3 Simplifying z = -3
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