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Simplifying -7(z + 6) = 8 + -6z Reorder the terms: -7(6 + z) = 8 + -6z (6 * -7 + z * -7) = 8 + -6z (-42 + -7z) = 8 + -6z Solving -42 + -7z = 8 + -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. -42 + -7z + 6z = 8 + -6z + 6z Combine like terms: -7z + 6z = -1z -42 + -1z = 8 + -6z + 6z Combine like terms: -6z + 6z = 0 -42 + -1z = 8 + 0 -42 + -1z = 8 Add '42' to each side of the equation. -42 + 42 + -1z = 8 + 42 Combine like terms: -42 + 42 = 0 0 + -1z = 8 + 42 -1z = 8 + 42 Combine like terms: 8 + 42 = 50 -1z = 50 Divide each side by '-1'. z = -50 Simplifying z = -50
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