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