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Simplifying 7 + -1(4z + -4) = 3 + -5z Reorder the terms: 7 + -1(-4 + 4z) = 3 + -5z 7 + (-4 * -1 + 4z * -1) = 3 + -5z 7 + (4 + -4z) = 3 + -5z Combine like terms: 7 + 4 = 11 11 + -4z = 3 + -5z Solving 11 + -4z = 3 + -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. 11 + -4z + 5z = 3 + -5z + 5z Combine like terms: -4z + 5z = 1z 11 + 1z = 3 + -5z + 5z Combine like terms: -5z + 5z = 0 11 + 1z = 3 + 0 11 + 1z = 3 Add '-11' to each side of the equation. 11 + -11 + 1z = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 1z = 3 + -11 1z = 3 + -11 Combine like terms: 3 + -11 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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