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Simplifying 5z + -4 = z + 11 Reorder the terms: -4 + 5z = z + 11 Reorder the terms: -4 + 5z = 11 + z Solving -4 + 5z = 11 + 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. -4 + 5z + -1z = 11 + z + -1z Combine like terms: 5z + -1z = 4z -4 + 4z = 11 + z + -1z Combine like terms: z + -1z = 0 -4 + 4z = 11 + 0 -4 + 4z = 11 Add '4' to each side of the equation. -4 + 4 + 4z = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 4z = 11 + 4 4z = 11 + 4 Combine like terms: 11 + 4 = 15 4z = 15 Divide each side by '4'. z = 3.75 Simplifying z = 3.75
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