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Simplifying 7 + -31 = 4z Combine like terms: 7 + -31 = -24 -24 = 4z Solving -24 = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -24 + -4z = 4z + -4z Combine like terms: 4z + -4z = 0 -24 + -4z = 0 Add '24' to each side of the equation. -24 + 24 + -4z = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -4z = 0 + 24 -4z = 0 + 24 Combine like terms: 0 + 24 = 24 -4z = 24 Divide each side by '-4'. z = -6 Simplifying z = -6