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Simplifying 42z + -75 = 2z + -21 Reorder the terms: -75 + 42z = 2z + -21 Reorder the terms: -75 + 42z = -21 + 2z Solving -75 + 42z = -21 + 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. -75 + 42z + -2z = -21 + 2z + -2z Combine like terms: 42z + -2z = 40z -75 + 40z = -21 + 2z + -2z Combine like terms: 2z + -2z = 0 -75 + 40z = -21 + 0 -75 + 40z = -21 Add '75' to each side of the equation. -75 + 75 + 40z = -21 + 75 Combine like terms: -75 + 75 = 0 0 + 40z = -21 + 75 40z = -21 + 75 Combine like terms: -21 + 75 = 54 40z = 54 Divide each side by '40'. z = 1.35 Simplifying z = 1.35
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