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Simplifying 15 + 5(z + 3) = 4z + 3 Reorder the terms: 15 + 5(3 + z) = 4z + 3 15 + (3 * 5 + z * 5) = 4z + 3 15 + (15 + 5z) = 4z + 3 Combine like terms: 15 + 15 = 30 30 + 5z = 4z + 3 Reorder the terms: 30 + 5z = 3 + 4z Solving 30 + 5z = 3 + 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. 30 + 5z + -4z = 3 + 4z + -4z Combine like terms: 5z + -4z = 1z 30 + 1z = 3 + 4z + -4z Combine like terms: 4z + -4z = 0 30 + 1z = 3 + 0 30 + 1z = 3 Add '-30' to each side of the equation. 30 + -30 + 1z = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 1z = 3 + -30 1z = 3 + -30 Combine like terms: 3 + -30 = -27 1z = -27 Divide each side by '1'. z = -27 Simplifying z = -27
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