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Simplifying -3 + 8 = -5z + 6(z + 8) Combine like terms: -3 + 8 = 5 5 = -5z + 6(z + 8) Reorder the terms: 5 = -5z + 6(8 + z) 5 = -5z + (8 * 6 + z * 6) 5 = -5z + (48 + 6z) Reorder the terms: 5 = 48 + -5z + 6z Combine like terms: -5z + 6z = 1z 5 = 48 + 1z Solving 5 = 48 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 5 + -1z = 48 + 1z + -1z Combine like terms: 1z + -1z = 0 5 + -1z = 48 + 0 5 + -1z = 48 Add '-5' to each side of the equation. 5 + -5 + -1z = 48 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = 48 + -5 -1z = 48 + -5 Combine like terms: 48 + -5 = 43 -1z = 43 Divide each side by '-1'. z = -43 Simplifying z = -43
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