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Simplifying z + -5 = 5z + -3 Reorder the terms: -5 + z = 5z + -3 Reorder the terms: -5 + z = -3 + 5z Solving -5 + z = -3 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -5 + z + -5z = -3 + 5z + -5z Combine like terms: z + -5z = -4z -5 + -4z = -3 + 5z + -5z Combine like terms: 5z + -5z = 0 -5 + -4z = -3 + 0 -5 + -4z = -3 Add '5' to each side of the equation. -5 + 5 + -4z = -3 + 5 Combine like terms: -5 + 5 = 0 0 + -4z = -3 + 5 -4z = -3 + 5 Combine like terms: -3 + 5 = 2 -4z = 2 Divide each side by '-4'. z = -0.5 Simplifying z = -0.5
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