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Simplifying 4z + -19 = -31 + 8z Reorder the terms: -19 + 4z = -31 + 8z Solving -19 + 4z = -31 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -19 + 4z + -8z = -31 + 8z + -8z Combine like terms: 4z + -8z = -4z -19 + -4z = -31 + 8z + -8z Combine like terms: 8z + -8z = 0 -19 + -4z = -31 + 0 -19 + -4z = -31 Add '19' to each side of the equation. -19 + 19 + -4z = -31 + 19 Combine like terms: -19 + 19 = 0 0 + -4z = -31 + 19 -4z = -31 + 19 Combine like terms: -31 + 19 = -12 -4z = -12 Divide each side by '-4'. z = 3 Simplifying z = 3
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