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Simplifying 8(z + 6) + 5 = 2z + -2 Reorder the terms: 8(6 + z) + 5 = 2z + -2 (6 * 8 + z * 8) + 5 = 2z + -2 (48 + 8z) + 5 = 2z + -2 Reorder the terms: 48 + 5 + 8z = 2z + -2 Combine like terms: 48 + 5 = 53 53 + 8z = 2z + -2 Reorder the terms: 53 + 8z = -2 + 2z Solving 53 + 8z = -2 + 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. 53 + 8z + -2z = -2 + 2z + -2z Combine like terms: 8z + -2z = 6z 53 + 6z = -2 + 2z + -2z Combine like terms: 2z + -2z = 0 53 + 6z = -2 + 0 53 + 6z = -2 Add '-53' to each side of the equation. 53 + -53 + 6z = -2 + -53 Combine like terms: 53 + -53 = 0 0 + 6z = -2 + -53 6z = -2 + -53 Combine like terms: -2 + -53 = -55 6z = -55 Divide each side by '6'. z = -9.166666667 Simplifying z = -9.166666667
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