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Simplifying -3(2 + -5z) + 8z = 3z + -3 (2 * -3 + -5z * -3) + 8z = 3z + -3 (-6 + 15z) + 8z = 3z + -3 Combine like terms: 15z + 8z = 23z -6 + 23z = 3z + -3 Reorder the terms: -6 + 23z = -3 + 3z Solving -6 + 23z = -3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -6 + 23z + -3z = -3 + 3z + -3z Combine like terms: 23z + -3z = 20z -6 + 20z = -3 + 3z + -3z Combine like terms: 3z + -3z = 0 -6 + 20z = -3 + 0 -6 + 20z = -3 Add '6' to each side of the equation. -6 + 6 + 20z = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 20z = -3 + 6 20z = -3 + 6 Combine like terms: -3 + 6 = 3 20z = 3 Divide each side by '20'. z = 0.15 Simplifying z = 0.15
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