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Simplifying -3(z + 7) = 4z Reorder the terms: -3(7 + z) = 4z (7 * -3 + z * -3) = 4z (-21 + -3z) = 4z Solving -21 + -3z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -21 + -3z + -4z = 4z + -4z Combine like terms: -3z + -4z = -7z -21 + -7z = 4z + -4z Combine like terms: 4z + -4z = 0 -21 + -7z = 0 Add '21' to each side of the equation. -21 + 21 + -7z = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -7z = 0 + 21 -7z = 0 + 21 Combine like terms: 0 + 21 = 21 -7z = 21 Divide each side by '-7'. z = -3 Simplifying z = -3
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