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Simplifying -7(z + 3) = -8z Reorder the terms: -7(3 + z) = -8z (3 * -7 + z * -7) = -8z (-21 + -7z) = -8z Solving -21 + -7z = -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -21 + -7z + 8z = -8z + 8z Combine like terms: -7z + 8z = 1z -21 + 1z = -8z + 8z Combine like terms: -8z + 8z = 0 -21 + 1z = 0 Add '21' to each side of the equation. -21 + 21 + 1z = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 1z = 0 + 21 1z = 0 + 21 Combine like terms: 0 + 21 = 21 1z = 21 Divide each side by '1'. z = 21 Simplifying z = 21
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