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Simplifying -7 = 10 + 7z + z Combine like terms: 7z + z = 8z -7 = 10 + 8z Solving -7 = 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. -7 + -8z = 10 + 8z + -8z Combine like terms: 8z + -8z = 0 -7 + -8z = 10 + 0 -7 + -8z = 10 Add '7' to each side of the equation. -7 + 7 + -8z = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -8z = 10 + 7 -8z = 10 + 7 Combine like terms: 10 + 7 = 17 -8z = 17 Divide each side by '-8'. z = -2.125 Simplifying z = -2.125
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