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Simplifying -6(5z + 3) = 30 + -8z Reorder the terms: -6(3 + 5z) = 30 + -8z (3 * -6 + 5z * -6) = 30 + -8z (-18 + -30z) = 30 + -8z Solving -18 + -30z = 30 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -18 + -30z + 8z = 30 + -8z + 8z Combine like terms: -30z + 8z = -22z -18 + -22z = 30 + -8z + 8z Combine like terms: -8z + 8z = 0 -18 + -22z = 30 + 0 -18 + -22z = 30 Add '18' to each side of the equation. -18 + 18 + -22z = 30 + 18 Combine like terms: -18 + 18 = 0 0 + -22z = 30 + 18 -22z = 30 + 18 Combine like terms: 30 + 18 = 48 -22z = 48 Divide each side by '-22'. z = -2.181818182 Simplifying z = -2.181818182
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