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Simplifying 7 + 5(8z + 7) = 0 Reorder the terms: 7 + 5(7 + 8z) = 0 7 + (7 * 5 + 8z * 5) = 0 7 + (35 + 40z) = 0 Combine like terms: 7 + 35 = 42 42 + 40z = 0 Solving 42 + 40z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 40z = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 40z = 0 + -42 40z = 0 + -42 Combine like terms: 0 + -42 = -42 40z = -42 Divide each side by '40'. z = -1.05 Simplifying z = -1.05
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