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Simplifying 6 + -1(2z + 5) = 7 + -1z Reorder the terms: 6 + -1(5 + 2z) = 7 + -1z 6 + (5 * -1 + 2z * -1) = 7 + -1z 6 + (-5 + -2z) = 7 + -1z Combine like terms: 6 + -5 = 1 1 + -2z = 7 + -1z Solving 1 + -2z = 7 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 1 + -2z + z = 7 + -1z + z Combine like terms: -2z + z = -1z 1 + -1z = 7 + -1z + z Combine like terms: -1z + z = 0 1 + -1z = 7 + 0 1 + -1z = 7 Add '-1' to each side of the equation. 1 + -1 + -1z = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = 7 + -1 -1z = 7 + -1 Combine like terms: 7 + -1 = 6 -1z = 6 Divide each side by '-1'. z = -6 Simplifying z = -6
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