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Simplifying 5z + -10z + 10 = -3z + -8 Reorder the terms: 10 + 5z + -10z = -3z + -8 Combine like terms: 5z + -10z = -5z 10 + -5z = -3z + -8 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 = -18 -2z = -18 Divide each side by '-2'. z = 9 Simplifying z = 9
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