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Simplifying 4z + -16 = -31 + z Reorder the terms: -16 + 4z = -31 + z Solving -16 + 4z = -31 + 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. -16 + 4z + -1z = -31 + z + -1z Combine like terms: 4z + -1z = 3z -16 + 3z = -31 + z + -1z Combine like terms: z + -1z = 0 -16 + 3z = -31 + 0 -16 + 3z = -31 Add '16' to each side of the equation. -16 + 16 + 3z = -31 + 16 Combine like terms: -16 + 16 = 0 0 + 3z = -31 + 16 3z = -31 + 16 Combine like terms: -31 + 16 = -15 3z = -15 Divide each side by '3'. z = -5 Simplifying z = -5
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