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Simplifying 4z + 7z + 10 = -8 + 8z Reorder the terms: 10 + 4z + 7z = -8 + 8z Combine like terms: 4z + 7z = 11z 10 + 11z = -8 + 8z Solving 10 + 11z = -8 + 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. 10 + 11z + -8z = -8 + 8z + -8z Combine like terms: 11z + -8z = 3z 10 + 3z = -8 + 8z + -8z Combine like terms: 8z + -8z = 0 10 + 3z = -8 + 0 10 + 3z = -8 Add '-10' to each side of the equation. 10 + -10 + 3z = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 3z = -8 + -10 3z = -8 + -10 Combine like terms: -8 + -10 = -18 3z = -18 Divide each side by '3'. z = -6 Simplifying z = -6
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