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Simplifying 4z + 3(5 + -2) = -1(z + -2) + 9 Combine like terms: 5 + -2 = 3 4z + 3(3) = -1(z + -2) + 9 Multiply 3 * 3 4z + 9 = -1(z + -2) + 9 Reorder the terms: 9 + 4z = -1(z + -2) + 9 Reorder the terms: 9 + 4z = -1(-2 + z) + 9 9 + 4z = (-2 * -1 + z * -1) + 9 9 + 4z = (2 + -1z) + 9 Reorder the terms: 9 + 4z = 2 + 9 + -1z Combine like terms: 2 + 9 = 11 9 + 4z = 11 + -1z Solving 9 + 4z = 11 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 9 + 4z + z = 11 + -1z + z Combine like terms: 4z + z = 5z 9 + 5z = 11 + -1z + z Combine like terms: -1z + z = 0 9 + 5z = 11 + 0 9 + 5z = 11 Add '-9' to each side of the equation. 9 + -9 + 5z = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 5z = 11 + -9 5z = 11 + -9 Combine like terms: 11 + -9 = 2 5z = 2 Divide each side by '5'. z = 0.4 Simplifying z = 0.4
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