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Simplifying -1(z + 9) + (2z + z) = -4(z + 1) Reorder the terms: -1(9 + z) + (2z + z) = -4(z + 1) (9 * -1 + z * -1) + (2z + z) = -4(z + 1) (-9 + -1z) + (2z + z) = -4(z + 1) Combine like terms: 2z + z = 3z -9 + -1z + (3z) = -4(z + 1) -9 + -1z + (3z) = -4(z + 1) Combine like terms: -1z + (3z) = 2z -9 + 2z = -4(z + 1) Reorder the terms: -9 + 2z = -4(1 + z) -9 + 2z = (1 * -4 + z * -4) -9 + 2z = (-4 + -4z) Solving -9 + 2z = -4 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -9 + 2z + 4z = -4 + -4z + 4z Combine like terms: 2z + 4z = 6z -9 + 6z = -4 + -4z + 4z Combine like terms: -4z + 4z = 0 -9 + 6z = -4 + 0 -9 + 6z = -4 Add '9' to each side of the equation. -9 + 9 + 6z = -4 + 9 Combine like terms: -9 + 9 = 0 0 + 6z = -4 + 9 6z = -4 + 9 Combine like terms: -4 + 9 = 5 6z = 5 Divide each side by '6'. z = 0.8333333333 Simplifying z = 0.8333333333
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