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Simplifying 7 + -1(2z + -7) = 4 + -3z Reorder the terms: 7 + -1(-7 + 2z) = 4 + -3z 7 + (-7 * -1 + 2z * -1) = 4 + -3z 7 + (7 + -2z) = 4 + -3z Combine like terms: 7 + 7 = 14 14 + -2z = 4 + -3z Solving 14 + -2z = 4 + -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 = 4 + -3z + 3z Combine like terms: -2z + 3z = 1z 14 + 1z = 4 + -3z + 3z Combine like terms: -3z + 3z = 0 14 + 1z = 4 + 0 14 + 1z = 4 Add '-14' to each side of the equation. 14 + -14 + 1z = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 1z = 4 + -14 1z = 4 + -14 Combine like terms: 4 + -14 = -10 1z = -10 Divide each side by '1'. z = -10 Simplifying z = -10
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