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Simplifying 2z + 9(z + -4) = 52 Reorder the terms: 2z + 9(-4 + z) = 52 2z + (-4 * 9 + z * 9) = 52 2z + (-36 + 9z) = 52 Reorder the terms: -36 + 2z + 9z = 52 Combine like terms: 2z + 9z = 11z -36 + 11z = 52 Solving -36 + 11z = 52 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 11z = 52 + 36 Combine like terms: -36 + 36 = 0 0 + 11z = 52 + 36 11z = 52 + 36 Combine like terms: 52 + 36 = 88 11z = 88 Divide each side by '11'. z = 8 Simplifying z = 8
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