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Simplifying 49 + -5z = 9 + 3z Solving 49 + -5z = 9 + 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. 49 + -5z + -3z = 9 + 3z + -3z Combine like terms: -5z + -3z = -8z 49 + -8z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 49 + -8z = 9 + 0 49 + -8z = 9 Add '-49' to each side of the equation. 49 + -49 + -8z = 9 + -49 Combine like terms: 49 + -49 = 0 0 + -8z = 9 + -49 -8z = 9 + -49 Combine like terms: 9 + -49 = -40 -8z = -40 Divide each side by '-8'. z = 5 Simplifying z = 5
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