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Simplifying z + 45 = 6z + -40 Reorder the terms: 45 + z = 6z + -40 Reorder the terms: 45 + z = -40 + 6z Solving 45 + z = -40 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 45 + z + -6z = -40 + 6z + -6z Combine like terms: z + -6z = -5z 45 + -5z = -40 + 6z + -6z Combine like terms: 6z + -6z = 0 45 + -5z = -40 + 0 45 + -5z = -40 Add '-45' to each side of the equation. 45 + -45 + -5z = -40 + -45 Combine like terms: 45 + -45 = 0 0 + -5z = -40 + -45 -5z = -40 + -45 Combine like terms: -40 + -45 = -85 -5z = -85 Divide each side by '-5'. z = 17 Simplifying z = 17
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