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Simplifying 6(3z + -1) = -7(8 + z) Reorder the terms: 6(-1 + 3z) = -7(8 + z) (-1 * 6 + 3z * 6) = -7(8 + z) (-6 + 18z) = -7(8 + z) -6 + 18z = (8 * -7 + z * -7) -6 + 18z = (-56 + -7z) Solving -6 + 18z = -56 + -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. -6 + 18z + 7z = -56 + -7z + 7z Combine like terms: 18z + 7z = 25z -6 + 25z = -56 + -7z + 7z Combine like terms: -7z + 7z = 0 -6 + 25z = -56 + 0 -6 + 25z = -56 Add '6' to each side of the equation. -6 + 6 + 25z = -56 + 6 Combine like terms: -6 + 6 = 0 0 + 25z = -56 + 6 25z = -56 + 6 Combine like terms: -56 + 6 = -50 25z = -50 Divide each side by '25'. z = -2 Simplifying z = -2
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