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Simplifying -8(7z + 4) = -30 + 2z Reorder the terms: -8(4 + 7z) = -30 + 2z (4 * -8 + 7z * -8) = -30 + 2z (-32 + -56z) = -30 + 2z Solving -32 + -56z = -30 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -32 + -56z + -2z = -30 + 2z + -2z Combine like terms: -56z + -2z = -58z -32 + -58z = -30 + 2z + -2z Combine like terms: 2z + -2z = 0 -32 + -58z = -30 + 0 -32 + -58z = -30 Add '32' to each side of the equation. -32 + 32 + -58z = -30 + 32 Combine like terms: -32 + 32 = 0 0 + -58z = -30 + 32 -58z = -30 + 32 Combine like terms: -30 + 32 = 2 -58z = 2 Divide each side by '-58'. z = -0.03448275862 Simplifying z = -0.03448275862
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