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Simplifying -6(z + -1) = -5z + -3 Reorder the terms: -6(-1 + z) = -5z + -3 (-1 * -6 + z * -6) = -5z + -3 (6 + -6z) = -5z + -3 Reorder the terms: 6 + -6z = -3 + -5z Solving 6 + -6z = -3 + -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 = -3 + -5z + 5z Combine like terms: -6z + 5z = -1z 6 + -1z = -3 + -5z + 5z Combine like terms: -5z + 5z = 0 6 + -1z = -3 + 0 6 + -1z = -3 Add '-6' to each side of the equation. 6 + -6 + -1z = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -1z = -3 + -6 -1z = -3 + -6 Combine like terms: -3 + -6 = -9 -1z = -9 Divide each side by '-1'. z = 9 Simplifying z = 9
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