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Simplifying 7 + -1(2z + -7) = 6 + -3z Reorder the terms: 7 + -1(-7 + 2z) = 6 + -3z 7 + (-7 * -1 + 2z * -1) = 6 + -3z 7 + (7 + -2z) = 6 + -3z Combine like terms: 7 + 7 = 14 14 + -2z = 6 + -3z Solving 14 + -2z = 6 + -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 = 6 + -3z + 3z Combine like terms: -2z + 3z = 1z 14 + 1z = 6 + -3z + 3z Combine like terms: -3z + 3z = 0 14 + 1z = 6 + 0 14 + 1z = 6 Add '-14' to each side of the equation. 14 + -14 + 1z = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 1z = 6 + -14 1z = 6 + -14 Combine like terms: 6 + -14 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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