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Simplifying -3(z + 6) = -2z + -9 Reorder the terms: -3(6 + z) = -2z + -9 (6 * -3 + z * -3) = -2z + -9 (-18 + -3z) = -2z + -9 Reorder the terms: -18 + -3z = -9 + -2z Solving -18 + -3z = -9 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -18 + -3z + 2z = -9 + -2z + 2z Combine like terms: -3z + 2z = -1z -18 + -1z = -9 + -2z + 2z Combine like terms: -2z + 2z = 0 -18 + -1z = -9 + 0 -18 + -1z = -9 Add '18' to each side of the equation. -18 + 18 + -1z = -9 + 18 Combine like terms: -18 + 18 = 0 0 + -1z = -9 + 18 -1z = -9 + 18 Combine like terms: -9 + 18 = 9 -1z = 9 Divide each side by '-1'. z = -9 Simplifying z = -9
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