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Simplifying 4(z + -5) + 5 = -9(z + 3) + 2 Reorder the terms: 4(-5 + z) + 5 = -9(z + 3) + 2 (-5 * 4 + z * 4) + 5 = -9(z + 3) + 2 (-20 + 4z) + 5 = -9(z + 3) + 2 Reorder the terms: -20 + 5 + 4z = -9(z + 3) + 2 Combine like terms: -20 + 5 = -15 -15 + 4z = -9(z + 3) + 2 Reorder the terms: -15 + 4z = -9(3 + z) + 2 -15 + 4z = (3 * -9 + z * -9) + 2 -15 + 4z = (-27 + -9z) + 2 Reorder the terms: -15 + 4z = -27 + 2 + -9z Combine like terms: -27 + 2 = -25 -15 + 4z = -25 + -9z Solving -15 + 4z = -25 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. -15 + 4z + 9z = -25 + -9z + 9z Combine like terms: 4z + 9z = 13z -15 + 13z = -25 + -9z + 9z Combine like terms: -9z + 9z = 0 -15 + 13z = -25 + 0 -15 + 13z = -25 Add '15' to each side of the equation. -15 + 15 + 13z = -25 + 15 Combine like terms: -15 + 15 = 0 0 + 13z = -25 + 15 13z = -25 + 15 Combine like terms: -25 + 15 = -10 13z = -10 Divide each side by '13'. z = -0.7692307692 Simplifying z = -0.7692307692
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