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Simplifying 7(z + -3) = -2z + 60 Reorder the terms: 7(-3 + z) = -2z + 60 (-3 * 7 + z * 7) = -2z + 60 (-21 + 7z) = -2z + 60 Reorder the terms: -21 + 7z = 60 + -2z Solving -21 + 7z = 60 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -21 + 7z + 2z = 60 + -2z + 2z Combine like terms: 7z + 2z = 9z -21 + 9z = 60 + -2z + 2z Combine like terms: -2z + 2z = 0 -21 + 9z = 60 + 0 -21 + 9z = 60 Add '21' to each side of the equation. -21 + 21 + 9z = 60 + 21 Combine like terms: -21 + 21 = 0 0 + 9z = 60 + 21 9z = 60 + 21 Combine like terms: 60 + 21 = 81 9z = 81 Divide each side by '9'. z = 9 Simplifying z = 9
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