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