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Simplifying 6z + -31 = 3z + -10 Reorder the terms: -31 + 6z = 3z + -10 Reorder the terms: -31 + 6z = -10 + 3z Solving -31 + 6z = -10 + 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. -31 + 6z + -3z = -10 + 3z + -3z Combine like terms: 6z + -3z = 3z -31 + 3z = -10 + 3z + -3z Combine like terms: 3z + -3z = 0 -31 + 3z = -10 + 0 -31 + 3z = -10 Add '31' to each side of the equation. -31 + 31 + 3z = -10 + 31 Combine like terms: -31 + 31 = 0 0 + 3z = -10 + 31 3z = -10 + 31 Combine like terms: -10 + 31 = 21 3z = 21 Divide each side by '3'. z = 7 Simplifying z = 7
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