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Simplifying 6 + -1(z + 5) = 12 Reorder the terms: 6 + -1(5 + z) = 12 6 + (5 * -1 + z * -1) = 12 6 + (-5 + -1z) = 12 Combine like terms: 6 + -5 = 1 1 + -1z = 12 Solving 1 + -1z = 12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1z = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = 12 + -1 -1z = 12 + -1 Combine like terms: 12 + -1 = 11 -1z = 11 Divide each side by '-1'. z = -11 Simplifying z = -11
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