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Simplifying 9(z + 4) + -2(z + -4) = 4(2 + -3) + 2(2 + -3) Reorder the terms: 9(4 + z) + -2(z + -4) = 4(2 + -3) + 2(2 + -3) (4 * 9 + z * 9) + -2(z + -4) = 4(2 + -3) + 2(2 + -3) (36 + 9z) + -2(z + -4) = 4(2 + -3) + 2(2 + -3) Reorder the terms: 36 + 9z + -2(-4 + z) = 4(2 + -3) + 2(2 + -3) 36 + 9z + (-4 * -2 + z * -2) = 4(2 + -3) + 2(2 + -3) 36 + 9z + (8 + -2z) = 4(2 + -3) + 2(2 + -3) Reorder the terms: 36 + 8 + 9z + -2z = 4(2 + -3) + 2(2 + -3) Combine like terms: 36 + 8 = 44 44 + 9z + -2z = 4(2 + -3) + 2(2 + -3) Combine like terms: 9z + -2z = 7z 44 + 7z = 4(2 + -3) + 2(2 + -3) Combine like terms: 2 + -3 = -1 44 + 7z = 4(-1) + 2(2 + -3) Multiply 4 * -1 44 + 7z = -4 + 2(2 + -3) Combine like terms: 2 + -3 = -1 44 + 7z = -4 + 2(-1) Multiply 2 * -1 44 + 7z = -4 + -2 Combine like terms: -4 + -2 = -6 44 + 7z = -6 Solving 44 + 7z = -6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 7z = -6 + -44 Combine like terms: 44 + -44 = 0 0 + 7z = -6 + -44 7z = -6 + -44 Combine like terms: -6 + -44 = -50 7z = -50 Divide each side by '7'. z = -7.142857143 Simplifying z = -7.142857143
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