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Simplifying -7(z + 4) = 5z Reorder the terms: -7(4 + z) = 5z (4 * -7 + z * -7) = 5z (-28 + -7z) = 5z Solving -28 + -7z = 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -28 + -7z + -5z = 5z + -5z Combine like terms: -7z + -5z = -12z -28 + -12z = 5z + -5z Combine like terms: 5z + -5z = 0 -28 + -12z = 0 Add '28' to each side of the equation. -28 + 28 + -12z = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -12z = 0 + 28 -12z = 0 + 28 Combine like terms: 0 + 28 = 28 -12z = 28 Divide each side by '-12'. z = -2.333333333 Simplifying z = -2.333333333
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