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Simplifying 6 + -1(2z + -8) = 7 + -3z Reorder the terms: 6 + -1(-8 + 2z) = 7 + -3z 6 + (-8 * -1 + 2z * -1) = 7 + -3z 6 + (8 + -2z) = 7 + -3z Combine like terms: 6 + 8 = 14 14 + -2z = 7 + -3z Solving 14 + -2z = 7 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 14 + -2z + 3z = 7 + -3z + 3z Combine like terms: -2z + 3z = 1z 14 + 1z = 7 + -3z + 3z Combine like terms: -3z + 3z = 0 14 + 1z = 7 + 0 14 + 1z = 7 Add '-14' to each side of the equation. 14 + -14 + 1z = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 1z = 7 + -14 1z = 7 + -14 Combine like terms: 7 + -14 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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