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Simplifying -6(z + -1) = -5(z + 12) Reorder the terms: -6(-1 + z) = -5(z + 12) (-1 * -6 + z * -6) = -5(z + 12) (6 + -6z) = -5(z + 12) Reorder the terms: 6 + -6z = -5(12 + z) 6 + -6z = (12 * -5 + z * -5) 6 + -6z = (-60 + -5z) Solving 6 + -6z = -60 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 6 + -6z + 5z = -60 + -5z + 5z Combine like terms: -6z + 5z = -1z 6 + -1z = -60 + -5z + 5z Combine like terms: -5z + 5z = 0 6 + -1z = -60 + 0 6 + -1z = -60 Add '-6' to each side of the equation. 6 + -6 + -1z = -60 + -6 Combine like terms: 6 + -6 = 0 0 + -1z = -60 + -6 -1z = -60 + -6 Combine like terms: -60 + -6 = -66 -1z = -66 Divide each side by '-1'. z = 66 Simplifying z = 66
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