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Simplifying 8(z + 7) + -6 = -2z + -60 + 10 Reorder the terms: 8(7 + z) + -6 = -2z + -60 + 10 (7 * 8 + z * 8) + -6 = -2z + -60 + 10 (56 + 8z) + -6 = -2z + -60 + 10 Reorder the terms: 56 + -6 + 8z = -2z + -60 + 10 Combine like terms: 56 + -6 = 50 50 + 8z = -2z + -60 + 10 Reorder the terms: 50 + 8z = -60 + 10 + -2z Combine like terms: -60 + 10 = -50 50 + 8z = -50 + -2z Solving 50 + 8z = -50 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 50 + 8z + 2z = -50 + -2z + 2z Combine like terms: 8z + 2z = 10z 50 + 10z = -50 + -2z + 2z Combine like terms: -2z + 2z = 0 50 + 10z = -50 + 0 50 + 10z = -50 Add '-50' to each side of the equation. 50 + -50 + 10z = -50 + -50 Combine like terms: 50 + -50 = 0 0 + 10z = -50 + -50 10z = -50 + -50 Combine like terms: -50 + -50 = -100 10z = -100 Divide each side by '10'. z = -10 Simplifying z = -10
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