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Simplifying -4(9z + 3) = 30 + 7z Reorder the terms: -4(3 + 9z) = 30 + 7z (3 * -4 + 9z * -4) = 30 + 7z (-12 + -36z) = 30 + 7z Solving -12 + -36z = 30 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -12 + -36z + -7z = 30 + 7z + -7z Combine like terms: -36z + -7z = -43z -12 + -43z = 30 + 7z + -7z Combine like terms: 7z + -7z = 0 -12 + -43z = 30 + 0 -12 + -43z = 30 Add '12' to each side of the equation. -12 + 12 + -43z = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -43z = 30 + 12 -43z = 30 + 12 Combine like terms: 30 + 12 = 42 -43z = 42 Divide each side by '-43'. z = -0.976744186 Simplifying z = -0.976744186
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