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Simplifying 8z + -10 = -46 + 2z Reorder the terms: -10 + 8z = -46 + 2z Solving -10 + 8z = -46 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -10 + 8z + -2z = -46 + 2z + -2z Combine like terms: 8z + -2z = 6z -10 + 6z = -46 + 2z + -2z Combine like terms: 2z + -2z = 0 -10 + 6z = -46 + 0 -10 + 6z = -46 Add '10' to each side of the equation. -10 + 10 + 6z = -46 + 10 Combine like terms: -10 + 10 = 0 0 + 6z = -46 + 10 6z = -46 + 10 Combine like terms: -46 + 10 = -36 6z = -36 Divide each side by '6'. z = -6 Simplifying z = -6
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