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Simplifying -7 + 5z = 8 + 10z Solving -7 + 5z = 8 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -7 + 5z + -10z = 8 + 10z + -10z Combine like terms: 5z + -10z = -5z -7 + -5z = 8 + 10z + -10z Combine like terms: 10z + -10z = 0 -7 + -5z = 8 + 0 -7 + -5z = 8 Add '7' to each side of the equation. -7 + 7 + -5z = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -5z = 8 + 7 -5z = 8 + 7 Combine like terms: 8 + 7 = 15 -5z = 15 Divide each side by '-5'. z = -3 Simplifying z = -3
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