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