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Simplifying 4(z + 7) + -5 = 8z + 7 Reorder the terms: 4(7 + z) + -5 = 8z + 7 (7 * 4 + z * 4) + -5 = 8z + 7 (28 + 4z) + -5 = 8z + 7 Reorder the terms: 28 + -5 + 4z = 8z + 7 Combine like terms: 28 + -5 = 23 23 + 4z = 8z + 7 Reorder the terms: 23 + 4z = 7 + 8z Solving 23 + 4z = 7 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 23 + 4z + -8z = 7 + 8z + -8z Combine like terms: 4z + -8z = -4z 23 + -4z = 7 + 8z + -8z Combine like terms: 8z + -8z = 0 23 + -4z = 7 + 0 23 + -4z = 7 Add '-23' to each side of the equation. 23 + -23 + -4z = 7 + -23 Combine like terms: 23 + -23 = 0 0 + -4z = 7 + -23 -4z = 7 + -23 Combine like terms: 7 + -23 = -16 -4z = -16 Divide each side by '-4'. z = 4 Simplifying z = 4
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