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Simplifying 4(z + -5) + 5 = -9(z + 3) + z Reorder the terms: 4(-5 + z) + 5 = -9(z + 3) + z (-5 * 4 + z * 4) + 5 = -9(z + 3) + z (-20 + 4z) + 5 = -9(z + 3) + z Reorder the terms: -20 + 5 + 4z = -9(z + 3) + z Combine like terms: -20 + 5 = -15 -15 + 4z = -9(z + 3) + z Reorder the terms: -15 + 4z = -9(3 + z) + z -15 + 4z = (3 * -9 + z * -9) + z -15 + 4z = (-27 + -9z) + z Combine like terms: -9z + z = -8z -15 + 4z = -27 + -8z Solving -15 + 4z = -27 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -15 + 4z + 8z = -27 + -8z + 8z Combine like terms: 4z + 8z = 12z -15 + 12z = -27 + -8z + 8z Combine like terms: -8z + 8z = 0 -15 + 12z = -27 + 0 -15 + 12z = -27 Add '15' to each side of the equation. -15 + 15 + 12z = -27 + 15 Combine like terms: -15 + 15 = 0 0 + 12z = -27 + 15 12z = -27 + 15 Combine like terms: -27 + 15 = -12 12z = -12 Divide each side by '12'. z = -1 Simplifying z = -1
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