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Simplifying 5z + -3 = z + 17 Reorder the terms: -3 + 5z = z + 17 Reorder the terms: -3 + 5z = 17 + z Solving -3 + 5z = 17 + 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. -3 + 5z + -1z = 17 + z + -1z Combine like terms: 5z + -1z = 4z -3 + 4z = 17 + z + -1z Combine like terms: z + -1z = 0 -3 + 4z = 17 + 0 -3 + 4z = 17 Add '3' to each side of the equation. -3 + 3 + 4z = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 4z = 17 + 3 4z = 17 + 3 Combine like terms: 17 + 3 = 20 4z = 20 Divide each side by '4'. z = 5 Simplifying z = 5
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