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Simplifying -33 = 3(6z + -5) Reorder the terms: -33 = 3(-5 + 6z) -33 = (-5 * 3 + 6z * 3) -33 = (-15 + 18z) Solving -33 = -15 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. -33 + -18z = -15 + 18z + -18z Combine like terms: 18z + -18z = 0 -33 + -18z = -15 + 0 -33 + -18z = -15 Add '33' to each side of the equation. -33 + 33 + -18z = -15 + 33 Combine like terms: -33 + 33 = 0 0 + -18z = -15 + 33 -18z = -15 + 33 Combine like terms: -15 + 33 = 18 -18z = 18 Divide each side by '-18'. z = -1 Simplifying z = -1
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