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Simplifying -3(z + 3) = 4z Reorder the terms: -3(3 + z) = 4z (3 * -3 + z * -3) = 4z (-9 + -3z) = 4z Solving -9 + -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. -9 + -3z + -4z = 4z + -4z Combine like terms: -3z + -4z = -7z -9 + -7z = 4z + -4z Combine like terms: 4z + -4z = 0 -9 + -7z = 0 Add '9' to each side of the equation. -9 + 9 + -7z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7z = 0 + 9 -7z = 0 + 9 Combine like terms: 0 + 9 = 9 -7z = 9 Divide each side by '-7'. z = -1.285714286 Simplifying z = -1.285714286
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