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Simplifying -6(z + 3) = -5z + -6 Reorder the terms: -6(3 + z) = -5z + -6 (3 * -6 + z * -6) = -5z + -6 (-18 + -6z) = -5z + -6 Reorder the terms: -18 + -6z = -6 + -5z Solving -18 + -6z = -6 + -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. -18 + -6z + 5z = -6 + -5z + 5z Combine like terms: -6z + 5z = -1z -18 + -1z = -6 + -5z + 5z Combine like terms: -5z + 5z = 0 -18 + -1z = -6 + 0 -18 + -1z = -6 Add '18' to each side of the equation. -18 + 18 + -1z = -6 + 18 Combine like terms: -18 + 18 = 0 0 + -1z = -6 + 18 -1z = -6 + 18 Combine like terms: -6 + 18 = 12 -1z = 12 Divide each side by '-1'. z = -12 Simplifying z = -12
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