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Simplifying 7 + -1(3z + -8) = 7 + -4z Reorder the terms: 7 + -1(-8 + 3z) = 7 + -4z 7 + (-8 * -1 + 3z * -1) = 7 + -4z 7 + (8 + -3z) = 7 + -4z Combine like terms: 7 + 8 = 15 15 + -3z = 7 + -4z Solving 15 + -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. 15 + -3z + 4z = 7 + -4z + 4z Combine like terms: -3z + 4z = 1z 15 + 1z = 7 + -4z + 4z Combine like terms: -4z + 4z = 0 15 + 1z = 7 + 0 15 + 1z = 7 Add '-15' to each side of the equation. 15 + -15 + 1z = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 1z = 7 + -15 1z = 7 + -15 Combine like terms: 7 + -15 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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