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Simplifying 5z + -16 = -2 + 3z Reorder the terms: -16 + 5z = -2 + 3z Solving -16 + 5z = -2 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -16 + 5z + -3z = -2 + 3z + -3z Combine like terms: 5z + -3z = 2z -16 + 2z = -2 + 3z + -3z Combine like terms: 3z + -3z = 0 -16 + 2z = -2 + 0 -16 + 2z = -2 Add '16' to each side of the equation. -16 + 16 + 2z = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 2z = -2 + 16 2z = -2 + 16 Combine like terms: -2 + 16 = 14 2z = 14 Divide each side by '2'. z = 7 Simplifying z = 7
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