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Simplifying -2(4z + -3) + 4 = 3(5 + -1Z) Reorder the terms: -2(-3 + 4z) + 4 = 3(5 + -1Z) (-3 * -2 + 4z * -2) + 4 = 3(5 + -1Z) (6 + -8z) + 4 = 3(5 + -1Z) Reorder the terms: 6 + 4 + -8z = 3(5 + -1Z) Combine like terms: 6 + 4 = 10 10 + -8z = 3(5 + -1Z) 10 + -8z = (5 * 3 + -1Z * 3) 10 + -8z = (15 + -3Z) Solving 10 + -8z = 15 + -3Z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -8z = 15 + -10 + -3Z Combine like terms: 10 + -10 = 0 0 + -8z = 15 + -10 + -3Z -8z = 15 + -10 + -3Z Combine like terms: 15 + -10 = 5 -8z = 5 + -3Z Divide each side by '-8'. z = -0.625 + 0.375Z Simplifying z = -0.625 + 0.375Z
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