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Simplifying 5z + -10 + -2z + 4 = 10 Reorder the terms: -10 + 4 + 5z + -2z = 10 Combine like terms: -10 + 4 = -6 -6 + 5z + -2z = 10 Combine like terms: 5z + -2z = 3z -6 + 3z = 10 Solving -6 + 3z = 10 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3z = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 3z = 10 + 6 3z = 10 + 6 Combine like terms: 10 + 6 = 16 3z = 16 Divide each side by '3'. z = 5.333333333 Simplifying z = 5.333333333
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