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Simplifying 5(z + 3) = 4z Reorder the terms: 5(3 + z) = 4z (3 * 5 + z * 5) = 4z (15 + 5z) = 4z Solving 15 + 5z = 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 + 5z + -4z = 4z + -4z Combine like terms: 5z + -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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