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Simplifying 9(z + -4) = -2z + 52 Reorder the terms: 9(-4 + z) = -2z + 52 (-4 * 9 + z * 9) = -2z + 52 (-36 + 9z) = -2z + 52 Reorder the terms: -36 + 9z = 52 + -2z Solving -36 + 9z = 52 + -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. -36 + 9z + 2z = 52 + -2z + 2z Combine like terms: 9z + 2z = 11z -36 + 11z = 52 + -2z + 2z Combine like terms: -2z + 2z = 0 -36 + 11z = 52 + 0 -36 + 11z = 52 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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