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Simplifying 5z + -10 = -8 + 3z Reorder the terms: -10 + 5z = -8 + 3z Solving -10 + 5z = -8 + 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. -10 + 5z + -3z = -8 + 3z + -3z Combine like terms: 5z + -3z = 2z -10 + 2z = -8 + 3z + -3z Combine like terms: 3z + -3z = 0 -10 + 2z = -8 + 0 -10 + 2z = -8 Add '10' to each side of the equation. -10 + 10 + 2z = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 2z = -8 + 10 2z = -8 + 10 Combine like terms: -8 + 10 = 2 2z = 2 Divide each side by '2'. z = 1 Simplifying z = 1
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