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Simplifying 4(z + z + 2) + -1(z + 4) = 60 Reorder the terms: 4(2 + z + z) + -1(z + 4) = 60 Combine like terms: z + z = 2z 4(2 + 2z) + -1(z + 4) = 60 (2 * 4 + 2z * 4) + -1(z + 4) = 60 (8 + 8z) + -1(z + 4) = 60 Reorder the terms: 8 + 8z + -1(4 + z) = 60 8 + 8z + (4 * -1 + z * -1) = 60 8 + 8z + (-4 + -1z) = 60 Reorder the terms: 8 + -4 + 8z + -1z = 60 Combine like terms: 8 + -4 = 4 4 + 8z + -1z = 60 Combine like terms: 8z + -1z = 7z 4 + 7z = 60 Solving 4 + 7z = 60 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7z = 60 + -4 Combine like terms: 4 + -4 = 0 0 + 7z = 60 + -4 7z = 60 + -4 Combine like terms: 60 + -4 = 56 7z = 56 Divide each side by '7'. z = 8 Simplifying z = 8
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