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Simplifying 7(z + -7) = 3(2 + 5) Reorder the terms: 7(-7 + z) = 3(2 + 5) (-7 * 7 + z * 7) = 3(2 + 5) (-49 + 7z) = 3(2 + 5) Combine like terms: 2 + 5 = 7 -49 + 7z = 3(7) Multiply 3 * 7 -49 + 7z = 21 Solving -49 + 7z = 21 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 7z = 21 + 49 Combine like terms: -49 + 49 = 0 0 + 7z = 21 + 49 7z = 21 + 49 Combine like terms: 21 + 49 = 70 7z = 70 Divide each side by '7'. z = 10 Simplifying z = 10
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