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Simplifying 6z + -3 = 10z + -35 Reorder the terms: -3 + 6z = 10z + -35 Reorder the terms: -3 + 6z = -35 + 10z Solving -3 + 6z = -35 + 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. -3 + 6z + -10z = -35 + 10z + -10z Combine like terms: 6z + -10z = -4z -3 + -4z = -35 + 10z + -10z Combine like terms: 10z + -10z = 0 -3 + -4z = -35 + 0 -3 + -4z = -35 Add '3' to each side of the equation. -3 + 3 + -4z = -35 + 3 Combine like terms: -3 + 3 = 0 0 + -4z = -35 + 3 -4z = -35 + 3 Combine like terms: -35 + 3 = -32 -4z = -32 Divide each side by '-4'. z = 8 Simplifying z = 8
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