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Simplifying 45 + -4z = 23 + 12z Solving 45 + -4z = 23 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 45 + -4z + -12z = 23 + 12z + -12z Combine like terms: -4z + -12z = -16z 45 + -16z = 23 + 12z + -12z Combine like terms: 12z + -12z = 0 45 + -16z = 23 + 0 45 + -16z = 23 Add '-45' to each side of the equation. 45 + -45 + -16z = 23 + -45 Combine like terms: 45 + -45 = 0 0 + -16z = 23 + -45 -16z = 23 + -45 Combine like terms: 23 + -45 = -22 -16z = -22 Divide each side by '-16'. z = 1.375 Simplifying z = 1.375
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