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Simplifying 4z + 3(6 + -1z) = -1(z + 2) + 10 4z + (6 * 3 + -1z * 3) = -1(z + 2) + 10 4z + (18 + -3z) = -1(z + 2) + 10 Reorder the terms: 18 + 4z + -3z = -1(z + 2) + 10 Combine like terms: 4z + -3z = 1z 18 + 1z = -1(z + 2) + 10 Reorder the terms: 18 + 1z = -1(2 + z) + 10 18 + 1z = (2 * -1 + z * -1) + 10 18 + 1z = (-2 + -1z) + 10 Reorder the terms: 18 + 1z = -2 + 10 + -1z Combine like terms: -2 + 10 = 8 18 + 1z = 8 + -1z Solving 18 + 1z = 8 + -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. 18 + 1z + z = 8 + -1z + z Combine like terms: 1z + z = 2z 18 + 2z = 8 + -1z + z Combine like terms: -1z + z = 0 18 + 2z = 8 + 0 18 + 2z = 8 Add '-18' to each side of the equation. 18 + -18 + 2z = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 2z = 8 + -18 2z = 8 + -18 Combine like terms: 8 + -18 = -10 2z = -10 Divide each side by '2'. z = -5 Simplifying z = -5
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