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Simplifying -6(z + -1) = -5(z + 2) Reorder the terms: -6(-1 + z) = -5(z + 2) (-1 * -6 + z * -6) = -5(z + 2) (6 + -6z) = -5(z + 2) Reorder the terms: 6 + -6z = -5(2 + z) 6 + -6z = (2 * -5 + z * -5) 6 + -6z = (-10 + -5z) Solving 6 + -6z = -10 + -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 = -10 + -5z + 5z Combine like terms: -6z + 5z = -1z 6 + -1z = -10 + -5z + 5z Combine like terms: -5z + 5z = 0 6 + -1z = -10 + 0 6 + -1z = -10 Add '-6' to each side of the equation. 6 + -6 + -1z = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -1z = -10 + -6 -1z = -10 + -6 Combine like terms: -10 + -6 = -16 -1z = -16 Divide each side by '-1'. z = 16 Simplifying z = 16
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