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