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Simplifying -4(z + -9) + -1(8 + -3z) = -2z Reorder the terms: -4(-9 + z) + -1(8 + -3z) = -2z (-9 * -4 + z * -4) + -1(8 + -3z) = -2z (36 + -4z) + -1(8 + -3z) = -2z 36 + -4z + (8 * -1 + -3z * -1) = -2z 36 + -4z + (-8 + 3z) = -2z Reorder the terms: 36 + -8 + -4z + 3z = -2z Combine like terms: 36 + -8 = 28 28 + -4z + 3z = -2z Combine like terms: -4z + 3z = -1z 28 + -1z = -2z Solving 28 + -1z = -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 28 + -1z + 2z = -2z + 2z Combine like terms: -1z + 2z = 1z 28 + 1z = -2z + 2z Combine like terms: -2z + 2z = 0 28 + 1z = 0 Add '-28' to each side of the equation. 28 + -28 + 1z = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 1z = 0 + -28 1z = 0 + -28 Combine like terms: 0 + -28 = -28 1z = -28 Divide each side by '1'. z = -28 Simplifying z = -28
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