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Simplifying -4(z + -7) = -5z Reorder the terms: -4(-7 + z) = -5z (-7 * -4 + z * -4) = -5z (28 + -4z) = -5z Solving 28 + -4z = -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 + -4z + 5z = -5z + 5z Combine like terms: -4z + 5z = 1z 28 + 1z = -5z + 5z Combine like terms: -5z + 5z = 0 28 + 1z = 0 Add '-28' to each side of the equation. 28 + -28 + 1z = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 1z = 0 + -28 1z = 0 + -28 Combine like terms: 0 + -28 = -28 1z = -28 Divide each side by '1'. z = -28 Simplifying z = -28
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