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Simplifying 5z + -7 = z + 13 Reorder the terms: -7 + 5z = z + 13 Reorder the terms: -7 + 5z = 13 + z Solving -7 + 5z = 13 + 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. -7 + 5z + -1z = 13 + z + -1z Combine like terms: 5z + -1z = 4z -7 + 4z = 13 + z + -1z Combine like terms: z + -1z = 0 -7 + 4z = 13 + 0 -7 + 4z = 13 Add '7' to each side of the equation. -7 + 7 + 4z = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 4z = 13 + 7 4z = 13 + 7 Combine like terms: 13 + 7 = 20 4z = 20 Divide each side by '4'. z = 5 Simplifying z = 5
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