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Simplifying 5z + 2 = 8z + -10 Reorder the terms: 2 + 5z = 8z + -10 Reorder the terms: 2 + 5z = -10 + 8z Solving 2 + 5z = -10 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 2 + 5z + -8z = -10 + 8z + -8z Combine like terms: 5z + -8z = -3z 2 + -3z = -10 + 8z + -8z Combine like terms: 8z + -8z = 0 2 + -3z = -10 + 0 2 + -3z = -10 Add '-2' to each side of the equation. 2 + -2 + -3z = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -3z = -10 + -2 -3z = -10 + -2 Combine like terms: -10 + -2 = -12 -3z = -12 Divide each side by '-3'. z = 4 Simplifying z = 4
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