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Simplifying 3(z + -3) + 5(z + 4) = -1 Reorder the terms: 3(-3 + z) + 5(z + 4) = -1 (-3 * 3 + z * 3) + 5(z + 4) = -1 (-9 + 3z) + 5(z + 4) = -1 Reorder the terms: -9 + 3z + 5(4 + z) = -1 -9 + 3z + (4 * 5 + z * 5) = -1 -9 + 3z + (20 + 5z) = -1 Reorder the terms: -9 + 20 + 3z + 5z = -1 Combine like terms: -9 + 20 = 11 11 + 3z + 5z = -1 Combine like terms: 3z + 5z = 8z 11 + 8z = -1 Solving 11 + 8z = -1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 8z = -1 + -11 Combine like terms: 11 + -11 = 0 0 + 8z = -1 + -11 8z = -1 + -11 Combine like terms: -1 + -11 = -12 8z = -12 Divide each side by '8'. z = -1.5 Simplifying z = -1.5
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