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Simplifying z + -2z + 3 = 4(z + 4.5) Reorder the terms: 3 + z + -2z = 4(z + 4.5) Combine like terms: z + -2z = -1z 3 + -1z = 4(z + 4.5) Reorder the terms: 3 + -1z = 4(4.5 + z) 3 + -1z = (4.5 * 4 + z * 4) 3 + -1z = (18 + 4z) Solving 3 + -1z = 18 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 3 + -1z + -4z = 18 + 4z + -4z Combine like terms: -1z + -4z = -5z 3 + -5z = 18 + 4z + -4z Combine like terms: 4z + -4z = 0 3 + -5z = 18 + 0 3 + -5z = 18 Add '-3' to each side of the equation. 3 + -3 + -5z = 18 + -3 Combine like terms: 3 + -3 = 0 0 + -5z = 18 + -3 -5z = 18 + -3 Combine like terms: 18 + -3 = 15 -5z = 15 Divide each side by '-5'. z = -3 Simplifying z = -3
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