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Simplifying -10 + 4z = 5 + -4z Solving -10 + 4z = 5 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -10 + 4z + 4z = 5 + -4z + 4z Combine like terms: 4z + 4z = 8z -10 + 8z = 5 + -4z + 4z Combine like terms: -4z + 4z = 0 -10 + 8z = 5 + 0 -10 + 8z = 5 Add '10' to each side of the equation. -10 + 10 + 8z = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 8z = 5 + 10 8z = 5 + 10 Combine like terms: 5 + 10 = 15 8z = 15 Divide each side by '8'. z = 1.875 Simplifying z = 1.875
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