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Simplifying 5 + -1(3 + z) + -1(8z + 9) = -4z 5 + (3 * -1 + z * -1) + -1(8z + 9) = -4z 5 + (-3 + -1z) + -1(8z + 9) = -4z Reorder the terms: 5 + -3 + -1z + -1(9 + 8z) = -4z 5 + -3 + -1z + (9 * -1 + 8z * -1) = -4z 5 + -3 + -1z + (-9 + -8z) = -4z Reorder the terms: 5 + -3 + -9 + -1z + -8z = -4z Combine like terms: 5 + -3 = 2 2 + -9 + -1z + -8z = -4z Combine like terms: 2 + -9 = -7 -7 + -1z + -8z = -4z Combine like terms: -1z + -8z = -9z -7 + -9z = -4z Solving -7 + -9z = -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. -7 + -9z + 4z = -4z + 4z Combine like terms: -9z + 4z = -5z -7 + -5z = -4z + 4z Combine like terms: -4z + 4z = 0 -7 + -5z = 0 Add '7' to each side of the equation. -7 + 7 + -5z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5z = 0 + 7 -5z = 0 + 7 Combine like terms: 0 + 7 = 7 -5z = 7 Divide each side by '-5'. z = -1.4 Simplifying z = -1.4
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