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Simplifying 5(3 + 2z) + -4z = -3 (3 * 5 + 2z * 5) + -4z = -3 (15 + 10z) + -4z = -3 Combine like terms: 10z + -4z = 6z 15 + 6z = -3 Solving 15 + 6z = -3 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6z = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 6z = -3 + -15 6z = -3 + -15 Combine like terms: -3 + -15 = -18 6z = -18 Divide each side by '6'. z = -3 Simplifying z = -3
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