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Simplifying -4 + 5z = 6 + 10z Solving -4 + 5z = 6 + 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. -4 + 5z + -10z = 6 + 10z + -10z Combine like terms: 5z + -10z = -5z -4 + -5z = 6 + 10z + -10z Combine like terms: 10z + -10z = 0 -4 + -5z = 6 + 0 -4 + -5z = 6 Add '4' to each side of the equation. -4 + 4 + -5z = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -5z = 6 + 4 -5z = 6 + 4 Combine like terms: 6 + 4 = 10 -5z = 10 Divide each side by '-5'. z = -2 Simplifying z = -2
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