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Simplifying 6(1 + -2z) + 3 = 5 (1 * 6 + -2z * 6) + 3 = 5 (6 + -12z) + 3 = 5 Reorder the terms: 6 + 3 + -12z = 5 Combine like terms: 6 + 3 = 9 9 + -12z = 5 Solving 9 + -12z = 5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -12z = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -12z = 5 + -9 -12z = 5 + -9 Combine like terms: 5 + -9 = -4 -12z = -4 Divide each side by '-12'. z = 0.3333333333 Simplifying z = 0.3333333333
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