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Simplifying -7(z + -7) = 4 + -6z Reorder the terms: -7(-7 + z) = 4 + -6z (-7 * -7 + z * -7) = 4 + -6z (49 + -7z) = 4 + -6z Solving 49 + -7z = 4 + -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. 49 + -7z + 6z = 4 + -6z + 6z Combine like terms: -7z + 6z = -1z 49 + -1z = 4 + -6z + 6z Combine like terms: -6z + 6z = 0 49 + -1z = 4 + 0 49 + -1z = 4 Add '-49' to each side of the equation. 49 + -49 + -1z = 4 + -49 Combine like terms: 49 + -49 = 0 0 + -1z = 4 + -49 -1z = 4 + -49 Combine like terms: 4 + -49 = -45 -1z = -45 Divide each side by '-1'. z = 45 Simplifying z = 45
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