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Simplifying 45 = z + 33 Reorder the terms: 45 = 33 + z Solving 45 = 33 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 45 + -1z = 33 + z + -1z Combine like terms: z + -1z = 0 45 + -1z = 33 + 0 45 + -1z = 33 Add '-45' to each side of the equation. 45 + -45 + -1z = 33 + -45 Combine like terms: 45 + -45 = 0 0 + -1z = 33 + -45 -1z = 33 + -45 Combine like terms: 33 + -45 = -12 -1z = -12 Divide each side by '-1'. z = 12 Simplifying z = 12
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