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Simplifying 7 + -45z = 5z + 13 Reorder the terms: 7 + -45z = 13 + 5z Solving 7 + -45z = 13 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 7 + -45z + -5z = 13 + 5z + -5z Combine like terms: -45z + -5z = -50z 7 + -50z = 13 + 5z + -5z Combine like terms: 5z + -5z = 0 7 + -50z = 13 + 0 7 + -50z = 13 Add '-7' to each side of the equation. 7 + -7 + -50z = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -50z = 13 + -7 -50z = 13 + -7 Combine like terms: 13 + -7 = 6 -50z = 6 Divide each side by '-50'. z = -0.12 Simplifying z = -0.12
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