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Simplifying 7 + -1(3z + -5) = 8 + -4z Reorder the terms: 7 + -1(-5 + 3z) = 8 + -4z 7 + (-5 * -1 + 3z * -1) = 8 + -4z 7 + (5 + -3z) = 8 + -4z Combine like terms: 7 + 5 = 12 12 + -3z = 8 + -4z Solving 12 + -3z = 8 + -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. 12 + -3z + 4z = 8 + -4z + 4z Combine like terms: -3z + 4z = 1z 12 + 1z = 8 + -4z + 4z Combine like terms: -4z + 4z = 0 12 + 1z = 8 + 0 12 + 1z = 8 Add '-12' to each side of the equation. 12 + -12 + 1z = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 8 + -12 1z = 8 + -12 Combine like terms: 8 + -12 = -4 1z = -4 Divide each side by '1'. z = -4 Simplifying z = -4
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