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Simplifying -8(7z + 3) = 30 + -6z Reorder the terms: -8(3 + 7z) = 30 + -6z (3 * -8 + 7z * -8) = 30 + -6z (-24 + -56z) = 30 + -6z Solving -24 + -56z = 30 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -24 + -56z + 6z = 30 + -6z + 6z Combine like terms: -56z + 6z = -50z -24 + -50z = 30 + -6z + 6z Combine like terms: -6z + 6z = 0 -24 + -50z = 30 + 0 -24 + -50z = 30 Add '24' to each side of the equation. -24 + 24 + -50z = 30 + 24 Combine like terms: -24 + 24 = 0 0 + -50z = 30 + 24 -50z = 30 + 24 Combine like terms: 30 + 24 = 54 -50z = 54 Divide each side by '-50'. z = -1.08 Simplifying z = -1.08
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