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Simplifying 5z + 4(6 + -1z) = -1(z + -2) + 12 5z + (6 * 4 + -1z * 4) = -1(z + -2) + 12 5z + (24 + -4z) = -1(z + -2) + 12 Reorder the terms: 24 + 5z + -4z = -1(z + -2) + 12 Combine like terms: 5z + -4z = 1z 24 + 1z = -1(z + -2) + 12 Reorder the terms: 24 + 1z = -1(-2 + z) + 12 24 + 1z = (-2 * -1 + z * -1) + 12 24 + 1z = (2 + -1z) + 12 Reorder the terms: 24 + 1z = 2 + 12 + -1z Combine like terms: 2 + 12 = 14 24 + 1z = 14 + -1z Solving 24 + 1z = 14 + -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 = 14 + -1z + z Combine like terms: 1z + z = 2z 24 + 2z = 14 + -1z + z Combine like terms: -1z + z = 0 24 + 2z = 14 + 0 24 + 2z = 14 Add '-24' to each side of the equation. 24 + -24 + 2z = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 2z = 14 + -24 2z = 14 + -24 Combine like terms: 14 + -24 = -10 2z = -10 Divide each side by '2'. z = -5 Simplifying z = -5
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