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Simplifying 8(z + 4) + -7(z + 4) = 13 Reorder the terms: 8(4 + z) + -7(z + 4) = 13 (4 * 8 + z * 8) + -7(z + 4) = 13 (32 + 8z) + -7(z + 4) = 13 Reorder the terms: 32 + 8z + -7(4 + z) = 13 32 + 8z + (4 * -7 + z * -7) = 13 32 + 8z + (-28 + -7z) = 13 Reorder the terms: 32 + -28 + 8z + -7z = 13 Combine like terms: 32 + -28 = 4 4 + 8z + -7z = 13 Combine like terms: 8z + -7z = 1z 4 + 1z = 13 Solving 4 + 1z = 13 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1z = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 13 + -4 1z = 13 + -4 Combine like terms: 13 + -4 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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