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Simplifying -3(z + -3) + -1(z + 4) = 3 Reorder the terms: -3(-3 + z) + -1(z + 4) = 3 (-3 * -3 + z * -3) + -1(z + 4) = 3 (9 + -3z) + -1(z + 4) = 3 Reorder the terms: 9 + -3z + -1(4 + z) = 3 9 + -3z + (4 * -1 + z * -1) = 3 9 + -3z + (-4 + -1z) = 3 Reorder the terms: 9 + -4 + -3z + -1z = 3 Combine like terms: 9 + -4 = 5 5 + -3z + -1z = 3 Combine like terms: -3z + -1z = -4z 5 + -4z = 3 Solving 5 + -4z = 3 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4z = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -4z = 3 + -5 -4z = 3 + -5 Combine like terms: 3 + -5 = -2 -4z = -2 Divide each side by '-4'. z = 0.5 Simplifying z = 0.5
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