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Simplifying 7z + -7 = -15 + 9z Reorder the terms: -7 + 7z = -15 + 9z Solving -7 + 7z = -15 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -7 + 7z + -9z = -15 + 9z + -9z Combine like terms: 7z + -9z = -2z -7 + -2z = -15 + 9z + -9z Combine like terms: 9z + -9z = 0 -7 + -2z = -15 + 0 -7 + -2z = -15 Add '7' to each side of the equation. -7 + 7 + -2z = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -2z = -15 + 7 -2z = -15 + 7 Combine like terms: -15 + 7 = -8 -2z = -8 Divide each side by '-2'. z = 4 Simplifying z = 4
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