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Simplifying 42 + 3 + -5z = 28 + -3z Combine like terms: 42 + 3 = 45 45 + -5z = 28 + -3z Solving 45 + -5z = 28 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 45 + -5z + 3z = 28 + -3z + 3z Combine like terms: -5z + 3z = -2z 45 + -2z = 28 + -3z + 3z Combine like terms: -3z + 3z = 0 45 + -2z = 28 + 0 45 + -2z = 28 Add '-45' to each side of the equation. 45 + -45 + -2z = 28 + -45 Combine like terms: 45 + -45 = 0 0 + -2z = 28 + -45 -2z = 28 + -45 Combine like terms: 28 + -45 = -17 -2z = -17 Divide each side by '-2'. z = 8.5 Simplifying z = 8.5
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