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Simplifying 7 + -1(3z + -1) = 7 + -4z Reorder the terms: 7 + -1(-1 + 3z) = 7 + -4z 7 + (-1 * -1 + 3z * -1) = 7 + -4z 7 + (1 + -3z) = 7 + -4z Combine like terms: 7 + 1 = 8 8 + -3z = 7 + -4z Solving 8 + -3z = 7 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 8 + -3z + 4z = 7 + -4z + 4z Combine like terms: -3z + 4z = 1z 8 + 1z = 7 + -4z + 4z Combine like terms: -4z + 4z = 0 8 + 1z = 7 + 0 8 + 1z = 7 Add '-8' to each side of the equation. 8 + -8 + 1z = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 7 + -8 1z = 7 + -8 Combine like terms: 7 + -8 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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