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Simplifying 8(z + 4) = 7(2 + -6) + z Reorder the terms: 8(4 + z) = 7(2 + -6) + z (4 * 8 + z * 8) = 7(2 + -6) + z (32 + 8z) = 7(2 + -6) + z Combine like terms: 2 + -6 = -4 32 + 8z = 7(-4) + z Multiply 7 * -4 32 + 8z = -28 + z Solving 32 + 8z = -28 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 32 + 8z + -1z = -28 + z + -1z Combine like terms: 8z + -1z = 7z 32 + 7z = -28 + z + -1z Combine like terms: z + -1z = 0 32 + 7z = -28 + 0 32 + 7z = -28 Add '-32' to each side of the equation. 32 + -32 + 7z = -28 + -32 Combine like terms: 32 + -32 = 0 0 + 7z = -28 + -32 7z = -28 + -32 Combine like terms: -28 + -32 = -60 7z = -60 Divide each side by '7'. z = -8.571428571 Simplifying z = -8.571428571
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