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Simplifying -9 + -10 + 3z = 9 + 7z Combine like terms: -9 + -10 = -19 -19 + 3z = 9 + 7z Solving -19 + 3z = 9 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -19 + 3z + -7z = 9 + 7z + -7z Combine like terms: 3z + -7z = -4z -19 + -4z = 9 + 7z + -7z Combine like terms: 7z + -7z = 0 -19 + -4z = 9 + 0 -19 + -4z = 9 Add '19' to each side of the equation. -19 + 19 + -4z = 9 + 19 Combine like terms: -19 + 19 = 0 0 + -4z = 9 + 19 -4z = 9 + 19 Combine like terms: 9 + 19 = 28 -4z = 28 Divide each side by '-4'. z = -7 Simplifying z = -7
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