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Simplifying 8(z + 7) + -6 = 2 + 60 + -10 Reorder the terms: 8(7 + z) + -6 = 2 + 60 + -10 (7 * 8 + z * 8) + -6 = 2 + 60 + -10 (56 + 8z) + -6 = 2 + 60 + -10 Reorder the terms: 56 + -6 + 8z = 2 + 60 + -10 Combine like terms: 56 + -6 = 50 50 + 8z = 2 + 60 + -10 Combine like terms: 2 + 60 = 62 50 + 8z = 62 + -10 Combine like terms: 62 + -10 = 52 50 + 8z = 52 Solving 50 + 8z = 52 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 8z = 52 + -50 Combine like terms: 50 + -50 = 0 0 + 8z = 52 + -50 8z = 52 + -50 Combine like terms: 52 + -50 = 2 8z = 2 Divide each side by '8'. z = 0.25 Simplifying z = 0.25
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