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Simplifying 8 + -1(3z + -2) = 7 + -4z Reorder the terms: 8 + -1(-2 + 3z) = 7 + -4z 8 + (-2 * -1 + 3z * -1) = 7 + -4z 8 + (2 + -3z) = 7 + -4z Combine like terms: 8 + 2 = 10 10 + -3z = 7 + -4z Solving 10 + -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. 10 + -3z + 4z = 7 + -4z + 4z Combine like terms: -3z + 4z = 1z 10 + 1z = 7 + -4z + 4z Combine like terms: -4z + 4z = 0 10 + 1z = 7 + 0 10 + 1z = 7 Add '-10' to each side of the equation. 10 + -10 + 1z = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 7 + -10 1z = 7 + -10 Combine like terms: 7 + -10 = -3 1z = -3 Divide each side by '1'. z = -3 Simplifying z = -3
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