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Simplifying -7(z + 1) = 3 + -6z Reorder the terms: -7(1 + z) = 3 + -6z (1 * -7 + z * -7) = 3 + -6z (-7 + -7z) = 3 + -6z Solving -7 + -7z = 3 + -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. -7 + -7z + 6z = 3 + -6z + 6z Combine like terms: -7z + 6z = -1z -7 + -1z = 3 + -6z + 6z Combine like terms: -6z + 6z = 0 -7 + -1z = 3 + 0 -7 + -1z = 3 Add '7' to each side of the equation. -7 + 7 + -1z = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -1z = 3 + 7 -1z = 3 + 7 Combine like terms: 3 + 7 = 10 -1z = 10 Divide each side by '-1'. z = -10 Simplifying z = -10
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