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