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Simplifying 8(z + 6) + -1(2 + 3z) = 4z Reorder the terms: 8(6 + z) + -1(2 + 3z) = 4z (6 * 8 + z * 8) + -1(2 + 3z) = 4z (48 + 8z) + -1(2 + 3z) = 4z 48 + 8z + (2 * -1 + 3z * -1) = 4z 48 + 8z + (-2 + -3z) = 4z Reorder the terms: 48 + -2 + 8z + -3z = 4z Combine like terms: 48 + -2 = 46 46 + 8z + -3z = 4z Combine like terms: 8z + -3z = 5z 46 + 5z = 4z Solving 46 + 5z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 46 + 5z + -4z = 4z + -4z Combine like terms: 5z + -4z = 1z 46 + 1z = 4z + -4z Combine like terms: 4z + -4z = 0 46 + 1z = 0 Add '-46' to each side of the equation. 46 + -46 + 1z = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 1z = 0 + -46 1z = 0 + -46 Combine like terms: 0 + -46 = -46 1z = -46 Divide each side by '1'. z = -46 Simplifying z = -46
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