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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 = -9z 30 + -9z = 3 + 4z + -4z Combine like terms: 4z + -4z = 0 30 + -9z = 3 + 0 30 + -9z = 3 Add '-30' to each side of the equation. 30 + -30 + -9z = 3 + -30 Combine like terms: 30 + -30 = 0 0 + -9z = 3 + -30 -9z = 3 + -30 Combine like terms: 3 + -30 = -27 -9z = -27 Divide each side by '-9'. z = 3 Simplifying z = 3
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