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Simplifying -7(z + 9) = 7 + -6z Reorder the terms: -7(9 + z) = 7 + -6z (9 * -7 + z * -7) = 7 + -6z (-63 + -7z) = 7 + -6z Solving -63 + -7z = 7 + -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. -63 + -7z + 6z = 7 + -6z + 6z Combine like terms: -7z + 6z = -1z -63 + -1z = 7 + -6z + 6z Combine like terms: -6z + 6z = 0 -63 + -1z = 7 + 0 -63 + -1z = 7 Add '63' to each side of the equation. -63 + 63 + -1z = 7 + 63 Combine like terms: -63 + 63 = 0 0 + -1z = 7 + 63 -1z = 7 + 63 Combine like terms: 7 + 63 = 70 -1z = 70 Divide each side by '-1'. z = -70 Simplifying z = -70
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