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Simplifying -4z + -5(-1z + -1) = -3 + -5(3 + -1z) Reorder the terms: -4z + -5(-1 + -1z) = -3 + -5(3 + -1z) -4z + (-1 * -5 + -1z * -5) = -3 + -5(3 + -1z) -4z + (5 + 5z) = -3 + -5(3 + -1z) Reorder the terms: 5 + -4z + 5z = -3 + -5(3 + -1z) Combine like terms: -4z + 5z = 1z 5 + 1z = -3 + -5(3 + -1z) 5 + 1z = -3 + (3 * -5 + -1z * -5) 5 + 1z = -3 + (-15 + 5z) Combine like terms: -3 + -15 = -18 5 + 1z = -18 + 5z Solving 5 + 1z = -18 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 5 + 1z + -5z = -18 + 5z + -5z Combine like terms: 1z + -5z = -4z 5 + -4z = -18 + 5z + -5z Combine like terms: 5z + -5z = 0 5 + -4z = -18 + 0 5 + -4z = -18 Add '-5' to each side of the equation. 5 + -5 + -4z = -18 + -5 Combine like terms: 5 + -5 = 0 0 + -4z = -18 + -5 -4z = -18 + -5 Combine like terms: -18 + -5 = -23 -4z = -23 Divide each side by '-4'. z = 5.75 Simplifying z = 5.75
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