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Simplifying -4.5z + 1 = 3z + 1 Reorder the terms: 1 + -4.5z = 3z + 1 Reorder the terms: 1 + -4.5z = 1 + 3z Add '-1' to each side of the equation. 1 + -1 + -4.5z = 1 + -1 + 3z Combine like terms: 1 + -1 = 0 0 + -4.5z = 1 + -1 + 3z -4.5z = 1 + -1 + 3z Combine like terms: 1 + -1 = 0 -4.5z = 0 + 3z -4.5z = 3z Solving -4.5z = 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. -4.5z + -3z = 3z + -3z Combine like terms: -4.5z + -3z = -7.5z -7.5z = 3z + -3z Combine like terms: 3z + -3z = 0 -7.5z = 0 Divide each side by '-7.5'. z = 0 Simplifying z = 0
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