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Simplifying 5z + -19 = -40 + 8z Reorder the terms: -19 + 5z = -40 + 8z Solving -19 + 5z = -40 + 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 + 5z + -8z = -40 + 8z + -8z Combine like terms: 5z + -8z = -3z -19 + -3z = -40 + 8z + -8z Combine like terms: 8z + -8z = 0 -19 + -3z = -40 + 0 -19 + -3z = -40 Add '19' to each side of the equation. -19 + 19 + -3z = -40 + 19 Combine like terms: -19 + 19 = 0 0 + -3z = -40 + 19 -3z = -40 + 19 Combine like terms: -40 + 19 = -21 -3z = -21 Divide each side by '-3'. z = 7 Simplifying z = 7
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