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Simplifying -3(z + 5) = -4z Reorder the terms: -3(5 + z) = -4z (5 * -3 + z * -3) = -4z (-15 + -3z) = -4z Solving -15 + -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. -15 + -3z + 4z = -4z + 4z Combine like terms: -3z + 4z = 1z -15 + 1z = -4z + 4z Combine like terms: -4z + 4z = 0 -15 + 1z = 0 Add '15' to each side of the equation. -15 + 15 + 1z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1z = 0 + 15 1z = 0 + 15 Combine like terms: 0 + 15 = 15 1z = 15 Divide each side by '1'. z = 15 Simplifying z = 15
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