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Simplifying 10z + -15 + -4z = 8 + -2z + 32 Reorder the terms: -15 + 10z + -4z = 8 + -2z + 32 Combine like terms: 10z + -4z = 6z -15 + 6z = 8 + -2z + 32 Reorder the terms: -15 + 6z = 8 + 32 + -2z Combine like terms: 8 + 32 = 40 -15 + 6z = 40 + -2z Solving -15 + 6z = 40 + -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. -15 + 6z + 2z = 40 + -2z + 2z Combine like terms: 6z + 2z = 8z -15 + 8z = 40 + -2z + 2z Combine like terms: -2z + 2z = 0 -15 + 8z = 40 + 0 -15 + 8z = 40 Add '15' to each side of the equation. -15 + 15 + 8z = 40 + 15 Combine like terms: -15 + 15 = 0 0 + 8z = 40 + 15 8z = 40 + 15 Combine like terms: 40 + 15 = 55 8z = 55 Divide each side by '8'. z = 6.875 Simplifying z = 6.875
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