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Simplifying 33z + -42 = 3(14z + -23) Reorder the terms: -42 + 33z = 3(14z + -23) Reorder the terms: -42 + 33z = 3(-23 + 14z) -42 + 33z = (-23 * 3 + 14z * 3) -42 + 33z = (-69 + 42z) Solving -42 + 33z = -69 + 42z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-42z' to each side of the equation. -42 + 33z + -42z = -69 + 42z + -42z Combine like terms: 33z + -42z = -9z -42 + -9z = -69 + 42z + -42z Combine like terms: 42z + -42z = 0 -42 + -9z = -69 + 0 -42 + -9z = -69 Add '42' to each side of the equation. -42 + 42 + -9z = -69 + 42 Combine like terms: -42 + 42 = 0 0 + -9z = -69 + 42 -9z = -69 + 42 Combine like terms: -69 + 42 = -27 -9z = -27 Divide each side by '-9'. z = 3 Simplifying z = 3
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