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Simplifying 8(2z + 7) = 15 + 3z Reorder the terms: 8(7 + 2z) = 15 + 3z (7 * 8 + 2z * 8) = 15 + 3z (56 + 16z) = 15 + 3z Solving 56 + 16z = 15 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 56 + 16z + -3z = 15 + 3z + -3z Combine like terms: 16z + -3z = 13z 56 + 13z = 15 + 3z + -3z Combine like terms: 3z + -3z = 0 56 + 13z = 15 + 0 56 + 13z = 15 Add '-56' to each side of the equation. 56 + -56 + 13z = 15 + -56 Combine like terms: 56 + -56 = 0 0 + 13z = 15 + -56 13z = 15 + -56 Combine like terms: 15 + -56 = -41 13z = -41 Divide each side by '13'. z = -3.153846154 Simplifying z = -3.153846154
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